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Finding the Third Proportional to 109,421,167 and 234,480,477

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Solution

The third proportional to 109,421,167 and 234,480,477 is: 502,472,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,421,167 : 234,480,477 = 234,480,477 : x
  2. Step 2: Convert to fraction form
    109,421,167/234,480,477 = 234,480,477/x
  3. Step 3: Cross multiply
    109,421,167x = 234,480,477 × 234,480,477
  4. Step 4: Simplify right side
    109,421,167x = 54,981,094,094,147,528
  5. Step 5: Solve for x
    x = 54,981,094,094,147,528/109,421,167
  6. Step 6: Final answer
    x = 502,472,196.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.