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Finding the Third Proportional to 72,730,464 and 161,603,442

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Solution

The third proportional to 72,730,464 and 161,603,442 is: 359,074,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,730,464 : 161,603,442 = 161,603,442 : x
  2. Step 2: Convert to fraction form
    72,730,464/161,603,442 = 161,603,442/x
  3. Step 3: Cross multiply
    72,730,464x = 161,603,442 × 161,603,442
  4. Step 4: Simplify right side
    72,730,464x = 26,115,672,466,247,364
  5. Step 5: Solve for x
    x = 26,115,672,466,247,364/72,730,464
  6. Step 6: Final answer
    x = 359,074,740.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.