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Finding the Third Proportional to 101,773,252,432 and 223,735,417,034

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Solution

The third proportional to 101,773,252,432 and 223,735,417,034 is: 491,853,563,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,773,252,432 : 223,735,417,034 = 223,735,417,034 : x
  2. Step 2: Convert to fraction form
    101,773,252,432/223,735,417,034 = 223,735,417,034/x
  3. Step 3: Cross multiply
    101,773,252,432x = 223,735,417,034 × 223,735,417,034
  4. Step 4: Simplify right side
    101,773,252,432x = 50,057,536,835,377,898,192,896
  5. Step 5: Solve for x
    x = 50,057,536,835,377,898,192,896/101,773,252,432
  6. Step 6: Final answer
    x = 491,853,563,084.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.