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Finding the Third Proportional to 186,384,892.50 and 291,745,806.75

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Solution

The third proportional to 186,384,892.50 and 291,745,806.75 is: 456,665,852.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,384,892.50 : 291,745,806.75 = 291,745,806.75 : x
  2. Step 2: Convert to fraction form
    186,384,892.50/291,745,806.75 = 291,745,806.75/x
  3. Step 3: Cross multiply
    186,384,892.50x = 291,745,806.75 × 291,745,806.75
  4. Step 4: Simplify right side
    186,384,892.50x = 85,115,615,756,208,352
  5. Step 5: Solve for x
    x = 85,115,615,756,208,352/186,384,892.50
  6. Step 6: Final answer
    x = 456,665,852.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.