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Finding the Third Proportional to 225,564,833.25 and 358,917,984

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Solution

The third proportional to 225,564,833.25 and 358,917,984 is: 571,109,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,564,833.25 : 358,917,984 = 358,917,984 : x
  2. Step 2: Convert to fraction form
    225,564,833.25/358,917,984 = 358,917,984/x
  3. Step 3: Cross multiply
    225,564,833.25x = 358,917,984 × 358,917,984
  4. Step 4: Simplify right side
    225,564,833.25x = 128,822,119,238,624,256
  5. Step 5: Solve for x
    x = 128,822,119,238,624,256/225,564,833.25
  6. Step 6: Final answer
    x = 571,109,057.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.