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Finding the Third Proportional to 106,888,287 and 234,205,278

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Solution

The third proportional to 106,888,287 and 234,205,278 is: 513,172,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,888,287 : 234,205,278 = 234,205,278 : x
  2. Step 2: Convert to fraction form
    106,888,287/234,205,278 = 234,205,278/x
  3. Step 3: Cross multiply
    106,888,287x = 234,205,278 × 234,205,278
  4. Step 4: Simplify right side
    106,888,287x = 54,852,112,243,057,280
  5. Step 5: Solve for x
    x = 54,852,112,243,057,280/106,888,287
  6. Step 6: Final answer
    x = 513,172,338.92

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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.