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Finding the Third Proportional to 99,885,139,002 and 144,316,776,744

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Solution

The third proportional to 99,885,139,002 and 144,316,776,744 is: 208,512,820,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,885,139,002 : 144,316,776,744 = 144,316,776,744 : x
  2. Step 2: Convert to fraction form
    99,885,139,002/144,316,776,744 = 144,316,776,744/x
  3. Step 3: Cross multiply
    99,885,139,002x = 144,316,776,744 × 144,316,776,744
  4. Step 4: Simplify right side
    99,885,139,002x = 20,827,332,049,777,538,891,776
  5. Step 5: Solve for x
    x = 20,827,332,049,777,538,891,776/99,885,139,002
  6. Step 6: Final answer
    x = 208,512,820,404.25

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