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Finding the Third Proportional to 106,888,290 and 234,205,284

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Solution

The third proportional to 106,888,290 and 234,205,284 is: 513,172,350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,888,290 : 234,205,284 = 234,205,284 : x
  2. Step 2: Convert to fraction form
    106,888,290/234,205,284 = 234,205,284/x
  3. Step 3: Cross multiply
    106,888,290x = 234,205,284 × 234,205,284
  4. Step 4: Simplify right side
    106,888,290x = 54,852,115,053,520,656
  5. Step 5: Solve for x
    x = 54,852,115,053,520,656/106,888,290
  6. Step 6: Final answer
    x = 513,172,350.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.