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Finding the Third Proportional to 233,946,962.50 and 506,904,707

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Solution

The third proportional to 233,946,962.50 and 506,904,707 is: 1,098,336,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,946,962.50 : 506,904,707 = 506,904,707 : x
  2. Step 2: Convert to fraction form
    233,946,962.50/506,904,707 = 506,904,707/x
  3. Step 3: Cross multiply
    233,946,962.50x = 506,904,707 × 506,904,707
  4. Step 4: Simplify right side
    233,946,962.50x = 256,952,381,978,755,840
  5. Step 5: Solve for x
    x = 256,952,381,978,755,840/233,946,962.50
  6. Step 6: Final answer
    x = 1,098,336,046.91

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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.