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Finding the Third Proportional to 106,224,272 and 216,346,528

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Solution

The third proportional to 106,224,272 and 216,346,528 is: 440,632,063.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,224,272 : 216,346,528 = 216,346,528 : x
  2. Step 2: Convert to fraction form
    106,224,272/216,346,528 = 216,346,528/x
  3. Step 3: Cross multiply
    106,224,272x = 216,346,528 × 216,346,528
  4. Step 4: Simplify right side
    106,224,272x = 46,805,820,177,654,784
  5. Step 5: Solve for x
    x = 46,805,820,177,654,784/106,224,272
  6. Step 6: Final answer
    x = 440,632,063.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.