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Finding the Third Proportional to 109,712,494.50 and 160,931,641.50

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Solution

The third proportional to 109,712,494.50 and 160,931,641.50 is: 236,062,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,712,494.50 : 160,931,641.50 = 160,931,641.50 : x
  2. Step 2: Convert to fraction form
    109,712,494.50/160,931,641.50 = 160,931,641.50/x
  3. Step 3: Cross multiply
    109,712,494.50x = 160,931,641.50 × 160,931,641.50
  4. Step 4: Simplify right side
    109,712,494.50x = 25,898,993,235,884,524
  5. Step 5: Solve for x
    x = 25,898,993,235,884,524/109,712,494.50
  6. Step 6: Final answer
    x = 236,062,386.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.