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Finding the Third Proportional to 431,838,359.50 and 932,487,191

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Solution

The third proportional to 431,838,359.50 and 932,487,191 is: 2,013,559,801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,838,359.50 : 932,487,191 = 932,487,191 : x
  2. Step 2: Convert to fraction form
    431,838,359.50/932,487,191 = 932,487,191/x
  3. Step 3: Cross multiply
    431,838,359.50x = 932,487,191 × 932,487,191
  4. Step 4: Simplify right side
    431,838,359.50x = 869,532,361,379,070,464
  5. Step 5: Solve for x
    x = 869,532,361,379,070,464/431,838,359.50
  6. Step 6: Final answer
    x = 2,013,559,801.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.