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Finding the Third Proportional to 69,402,303 and 149,650,368.75

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Solution

The third proportional to 69,402,303 and 149,650,368.75 is: 322,687,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,402,303 : 149,650,368.75 = 149,650,368.75 : x
  2. Step 2: Convert to fraction form
    69,402,303/149,650,368.75 = 149,650,368.75/x
  3. Step 3: Cross multiply
    69,402,303x = 149,650,368.75 × 149,650,368.75
  4. Step 4: Simplify right side
    69,402,303x = 22,395,232,867,010,976
  5. Step 5: Solve for x
    x = 22,395,232,867,010,976/69,402,303
  6. Step 6: Final answer
    x = 322,687,171.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.