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Finding the Third Proportional to 204,926,364 and 442,572,480

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Solution

The third proportional to 204,926,364 and 442,572,480 is: 955,808,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,926,364 : 442,572,480 = 442,572,480 : x
  2. Step 2: Convert to fraction form
    204,926,364/442,572,480 = 442,572,480/x
  3. Step 3: Cross multiply
    204,926,364x = 442,572,480 × 442,572,480
  4. Step 4: Simplify right side
    204,926,364x = 195,870,400,053,350,400
  5. Step 5: Solve for x
    x = 195,870,400,053,350,400/204,926,364
  6. Step 6: Final answer
    x = 955,808,692.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.