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Finding the Third Proportional to 186,722,583.75 and 300,012,913.13

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Solution

The third proportional to 186,722,583.75 and 300,012,913.13 is: 482,039,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,722,583.75 : 300,012,913.13 = 300,012,913.13 : x
  2. Step 2: Convert to fraction form
    186,722,583.75/300,012,913.13 = 300,012,913.13/x
  3. Step 3: Cross multiply
    186,722,583.75x = 300,012,913.13 × 300,012,913.13
  4. Step 4: Simplify right side
    186,722,583.75x = 90,007,748,041,748,800
  5. Step 5: Solve for x
    x = 90,007,748,041,748,800/186,722,583.75
  6. Step 6: Final answer
    x = 482,039,966.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.