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Finding the Third Proportional to 207,707,535 and 328,899,566.25

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Solution

The third proportional to 207,707,535 and 328,899,566.25 is: 520,804,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,707,535 : 328,899,566.25 = 328,899,566.25 : x
  2. Step 2: Convert to fraction form
    207,707,535/328,899,566.25 = 328,899,566.25/x
  3. Step 3: Cross multiply
    207,707,535x = 328,899,566.25 × 328,899,566.25
  4. Step 4: Simplify right side
    207,707,535x = 108,174,924,679,438,144
  5. Step 5: Solve for x
    x = 108,174,924,679,438,144/207,707,535
  6. Step 6: Final answer
    x = 520,804,046.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.