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Finding the Third Proportional to 147,429,699.75 and 319,920,153.75

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Solution

The third proportional to 147,429,699.75 and 319,920,153.75 is: 694,221,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,429,699.75 : 319,920,153.75 = 319,920,153.75 : x
  2. Step 2: Convert to fraction form
    147,429,699.75/319,920,153.75 = 319,920,153.75/x
  3. Step 3: Cross multiply
    147,429,699.75x = 319,920,153.75 × 319,920,153.75
  4. Step 4: Simplify right side
    147,429,699.75x = 102,348,904,775,423,632
  5. Step 5: Solve for x
    x = 102,348,904,775,423,632/147,429,699.75
  6. Step 6: Final answer
    x = 694,221,754.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.