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Finding the Third Proportional to 261,524,376 and 550,152,972

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Solution

The third proportional to 261,524,376 and 550,152,972 is: 1,157,323,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,524,376 : 550,152,972 = 550,152,972 : x
  2. Step 2: Convert to fraction form
    261,524,376/550,152,972 = 550,152,972/x
  3. Step 3: Cross multiply
    261,524,376x = 550,152,972 × 550,152,972
  4. Step 4: Simplify right side
    261,524,376x = 302,668,292,600,432,768
  5. Step 5: Solve for x
    x = 302,668,292,600,432,768/261,524,376
  6. Step 6: Final answer
    x = 1,157,323,448.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.