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Finding the Third Proportional to 106,888,289 and 234,205,282

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Solution

The third proportional to 106,888,289 and 234,205,282 is: 513,172,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,888,289 : 234,205,282 = 234,205,282 : x
  2. Step 2: Convert to fraction form
    106,888,289/234,205,282 = 234,205,282/x
  3. Step 3: Cross multiply
    106,888,289x = 234,205,282 × 234,205,282
  4. Step 4: Simplify right side
    106,888,289x = 54,852,114,116,699,520
  5. Step 5: Solve for x
    x = 54,852,114,116,699,520/106,888,289
  6. Step 6: Final answer
    x = 513,172,346.85

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