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Finding the Third Proportional to 231,922,845.75 and 497,044,746.38

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Solution

The third proportional to 231,922,845.75 and 497,044,746.38 is: 1,065,239,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,922,845.75 : 497,044,746.38 = 497,044,746.38 : x
  2. Step 2: Convert to fraction form
    231,922,845.75/497,044,746.38 = 497,044,746.38/x
  3. Step 3: Cross multiply
    231,922,845.75x = 497,044,746.38 × 497,044,746.38
  4. Step 4: Simplify right side
    231,922,845.75x = 247,053,479,898,988,064
  5. Step 5: Solve for x
    x = 247,053,479,898,988,064/231,922,845.75
  6. Step 6: Final answer
    x = 1,065,239,946.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.