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Finding the Third Proportional to 342,572,043 and 488,348,890.50

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Solution

The third proportional to 342,572,043 and 488,348,890.50 is: 696,159,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,572,043 : 488,348,890.50 = 488,348,890.50 : x
  2. Step 2: Convert to fraction form
    342,572,043/488,348,890.50 = 488,348,890.50/x
  3. Step 3: Cross multiply
    342,572,043x = 488,348,890.50 × 488,348,890.50
  4. Step 4: Simplify right side
    342,572,043x = 238,484,638,852,580,992
  5. Step 5: Solve for x
    x = 238,484,638,852,580,992/342,572,043
  6. Step 6: Final answer
    x = 696,159,081.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.