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Finding the Third Proportional to 249,914,955,514 and 380,719,613,238

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Solution

The third proportional to 249,914,955,514 and 380,719,613,238 is: 579,986,994,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,914,955,514 : 380,719,613,238 = 380,719,613,238 : x
  2. Step 2: Convert to fraction form
    249,914,955,514/380,719,613,238 = 380,719,613,238/x
  3. Step 3: Cross multiply
    249,914,955,514x = 380,719,613,238 × 380,719,613,238
  4. Step 4: Simplify right side
    249,914,955,514x = 144,947,423,904,092,311,781,376
  5. Step 5: Solve for x
    x = 144,947,423,904,092,311,781,376/249,914,955,514
  6. Step 6: Final answer
    x = 579,986,994,399.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.