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Finding the Third Proportional to 105,614,601 and 168,053,557.50

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Solution

The third proportional to 105,614,601 and 168,053,557.50 is: 267,406,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,614,601 : 168,053,557.50 = 168,053,557.50 : x
  2. Step 2: Convert to fraction form
    105,614,601/168,053,557.50 = 168,053,557.50/x
  3. Step 3: Cross multiply
    105,614,601x = 168,053,557.50 × 168,053,557.50
  4. Step 4: Simplify right side
    105,614,601x = 28,241,998,188,405,808
  5. Step 5: Solve for x
    x = 28,241,998,188,405,808/105,614,601
  6. Step 6: Final answer
    x = 267,406,191.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.