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Finding the Third Proportional to 80,953,411,024 and 120,953,944,428

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Solution

The third proportional to 80,953,411,024 and 120,953,944,428 is: 180,719,459,348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,953,411,024 : 120,953,944,428 = 120,953,944,428 : x
  2. Step 2: Convert to fraction form
    80,953,411,024/120,953,944,428 = 120,953,944,428/x
  3. Step 3: Cross multiply
    80,953,411,024x = 120,953,944,428 × 120,953,944,428
  4. Step 4: Simplify right side
    80,953,411,024x = 14,629,856,672,691,712,425,984
  5. Step 5: Solve for x
    x = 14,629,856,672,691,712,425,984/80,953,411,024
  6. Step 6: Final answer
    x = 180,719,459,348.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.