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Finding the Third Proportional to 153,572,746.50 and 217,300,780.69

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Solution

The third proportional to 153,572,746.50 and 217,300,780.69 is: 307,474,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,572,746.50 : 217,300,780.69 = 217,300,780.69 : x
  2. Step 2: Convert to fraction form
    153,572,746.50/217,300,780.69 = 217,300,780.69/x
  3. Step 3: Cross multiply
    153,572,746.50x = 217,300,780.69 × 217,300,780.69
  4. Step 4: Simplify right side
    153,572,746.50x = 47,219,629,287,396,976
  5. Step 5: Solve for x
    x = 47,219,629,287,396,976/153,572,746.50
  6. Step 6: Final answer
    x = 307,474,017.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.