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Finding the Third Proportional to 84,136,092 and 129,243,294

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Solution

The third proportional to 84,136,092 and 129,243,294 is: 198,533,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,136,092 : 129,243,294 = 129,243,294 : x
  2. Step 2: Convert to fraction form
    84,136,092/129,243,294 = 129,243,294/x
  3. Step 3: Cross multiply
    84,136,092x = 129,243,294 × 129,243,294
  4. Step 4: Simplify right side
    84,136,092x = 16,703,829,043,970,436
  5. Step 5: Solve for x
    x = 16,703,829,043,970,436/84,136,092
  6. Step 6: Final answer
    x = 198,533,455.11

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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.