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Finding the Third Proportional to 165,716,231 and 249,266,217

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Solution

The third proportional to 165,716,231 and 249,266,217 is: 374,940,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,716,231 : 249,266,217 = 249,266,217 : x
  2. Step 2: Convert to fraction form
    165,716,231/249,266,217 = 249,266,217/x
  3. Step 3: Cross multiply
    165,716,231x = 249,266,217 × 249,266,217
  4. Step 4: Simplify right side
    165,716,231x = 62,133,646,937,491,088
  5. Step 5: Solve for x
    x = 62,133,646,937,491,088/165,716,231
  6. Step 6: Final answer
    x = 374,940,019.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.