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Finding the Third Proportional to 186,384,913 and 291,745,837.50

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Solution

The third proportional to 186,384,913 and 291,745,837.50 is: 456,665,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,384,913 : 291,745,837.50 = 291,745,837.50 : x
  2. Step 2: Convert to fraction form
    186,384,913/291,745,837.50 = 291,745,837.50/x
  3. Step 3: Cross multiply
    186,384,913x = 291,745,837.50 × 291,745,837.50
  4. Step 4: Simplify right side
    186,384,913x = 85,115,633,698,576,400
  5. Step 5: Solve for x
    x = 85,115,633,698,576,400/186,384,913
  6. Step 6: Final answer
    x = 456,665,898.16

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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.