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Finding the Third Proportional to 99,885,142,446 and 144,316,781,873

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Solution

The third proportional to 99,885,142,446 and 144,316,781,873 is: 208,512,828,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,885,142,446 : 144,316,781,873 = 144,316,781,873 : x
  2. Step 2: Convert to fraction form
    99,885,142,446/144,316,781,873 = 144,316,781,873/x
  3. Step 3: Cross multiply
    99,885,142,446x = 144,316,781,873 × 144,316,781,873
  4. Step 4: Simplify right side
    99,885,142,446x = 20,827,333,530,179,059,318,784
  5. Step 5: Solve for x
    x = 20,827,333,530,179,059,318,784/99,885,142,446
  6. Step 6: Final answer
    x = 208,512,828,035.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.