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Finding the Third Proportional to 175,747,655,242.50 and 381,455,828,313

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Solution

The third proportional to 175,747,655,242.50 and 381,455,828,313 is: 827,940,200,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,747,655,242.50 : 381,455,828,313 = 381,455,828,313 : x
  2. Step 2: Convert to fraction form
    175,747,655,242.50/381,455,828,313 = 381,455,828,313/x
  3. Step 3: Cross multiply
    175,747,655,242.50x = 381,455,828,313 × 381,455,828,313
  4. Step 4: Simplify right side
    175,747,655,242.50x = 145,508,548,953,956,931,338,240
  5. Step 5: Solve for x
    x = 145,508,548,953,956,931,338,240/175,747,655,242.50
  6. Step 6: Final answer
    x = 827,940,200,699.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.