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Finding the Third Proportional to 105,789,793.50 and 160,281,686.25

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Solution

The third proportional to 105,789,793.50 and 160,281,686.25 is: 242,842,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,789,793.50 : 160,281,686.25 = 160,281,686.25 : x
  2. Step 2: Convert to fraction form
    105,789,793.50/160,281,686.25 = 160,281,686.25/x
  3. Step 3: Cross multiply
    105,789,793.50x = 160,281,686.25 × 160,281,686.25
  4. Step 4: Simplify right side
    105,789,793.50x = 25,690,218,947,143,440
  5. Step 5: Solve for x
    x = 25,690,218,947,143,440/105,789,793.50
  6. Step 6: Final answer
    x = 242,842,131.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.