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Finding the Third Proportional to 233,946,998 and 506,904,784

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Solution

The third proportional to 233,946,998 and 506,904,784 is: 1,098,336,213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,946,998 : 506,904,784 = 506,904,784 : x
  2. Step 2: Convert to fraction form
    233,946,998/506,904,784 = 506,904,784/x
  3. Step 3: Cross multiply
    233,946,998x = 506,904,784 × 506,904,784
  4. Step 4: Simplify right side
    233,946,998x = 256,952,460,042,086,656
  5. Step 5: Solve for x
    x = 256,952,460,042,086,656/233,946,998
  6. Step 6: Final answer
    x = 1,098,336,213.92

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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.