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Finding the Third Proportional to 225,564,824.25 and 358,917,970.50

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Solution

The third proportional to 225,564,824.25 and 358,917,970.50 is: 571,109,036.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,564,824.25 : 358,917,970.50 = 358,917,970.50 : x
  2. Step 2: Convert to fraction form
    225,564,824.25/358,917,970.50 = 358,917,970.50/x
  3. Step 3: Cross multiply
    225,564,824.25x = 358,917,970.50 × 358,917,970.50
  4. Step 4: Simplify right side
    225,564,824.25x = 128,822,109,547,838,864
  5. Step 5: Solve for x
    x = 128,822,109,547,838,864/225,564,824.25
  6. Step 6: Final answer
    x = 571,109,036.95

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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.