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Finding the Third Proportional to 302,096,238 and 466,489,461

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Solution

The third proportional to 302,096,238 and 466,489,461 is: 720,341,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,096,238 : 466,489,461 = 466,489,461 : x
  2. Step 2: Convert to fraction form
    302,096,238/466,489,461 = 466,489,461/x
  3. Step 3: Cross multiply
    302,096,238x = 466,489,461 × 466,489,461
  4. Step 4: Simplify right side
    302,096,238x = 217,612,417,224,070,528
  5. Step 5: Solve for x
    x = 217,612,417,224,070,528/302,096,238
  6. Step 6: Final answer
    x = 720,341,367.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.