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Finding the Third Proportional to 59,014,831,543.50 and 90,653,999,767.50

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Solution

The third proportional to 59,014,831,543.50 and 90,653,999,767.50 is: 139,255,632,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,014,831,543.50 : 90,653,999,767.50 = 90,653,999,767.50 : x
  2. Step 2: Convert to fraction form
    59,014,831,543.50/90,653,999,767.50 = 90,653,999,767.50/x
  3. Step 3: Cross multiply
    59,014,831,543.50x = 90,653,999,767.50 × 90,653,999,767.50
  4. Step 4: Simplify right side
    59,014,831,543.50x = 8,218,147,673,845,890,285,568
  5. Step 5: Solve for x
    x = 8,218,147,673,845,890,285,568/59,014,831,543.50
  6. Step 6: Final answer
    x = 139,255,632,167.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.