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Finding the Third Proportional to 102,123,530,952 and 223,484,896,552

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Solution

The third proportional to 102,123,530,952 and 223,484,896,552 is: 489,069,448,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,123,530,952 : 223,484,896,552 = 223,484,896,552 : x
  2. Step 2: Convert to fraction form
    102,123,530,952/223,484,896,552 = 223,484,896,552/x
  3. Step 3: Cross multiply
    102,123,530,952x = 223,484,896,552 × 223,484,896,552
  4. Step 4: Simplify right side
    102,123,530,952x = 49,945,498,986,858,143,547,392
  5. Step 5: Solve for x
    x = 49,945,498,986,858,143,547,392/102,123,530,952
  6. Step 6: Final answer
    x = 489,069,448,747.65

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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.