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Finding the Third Proportional to 205,746,868.13 and 313,443,820.13

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Solution

The third proportional to 205,746,868.13 and 313,443,820.13 is: 477,514,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,746,868.13 : 313,443,820.13 = 313,443,820.13 : x
  2. Step 2: Convert to fraction form
    205,746,868.13/313,443,820.13 = 313,443,820.13/x
  3. Step 3: Cross multiply
    205,746,868.13x = 313,443,820.13 × 313,443,820.13
  4. Step 4: Simplify right side
    205,746,868.13x = 98,247,028,374,553,360
  5. Step 5: Solve for x
    x = 98,247,028,374,553,360/205,746,868.13
  6. Step 6: Final answer
    x = 477,514,089.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.