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Finding the Third Proportional to 65,986,464 and 144,883,680

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Solution

The third proportional to 65,986,464 and 144,883,680 is: 318,114,950.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,986,464 : 144,883,680 = 144,883,680 : x
  2. Step 2: Convert to fraction form
    65,986,464/144,883,680 = 144,883,680/x
  3. Step 3: Cross multiply
    65,986,464x = 144,883,680 × 144,883,680
  4. Step 4: Simplify right side
    65,986,464x = 20,991,280,730,342,400
  5. Step 5: Solve for x
    x = 20,991,280,730,342,400/65,986,464
  6. Step 6: Final answer
    x = 318,114,950.52

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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.