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Finding the Third Proportional to 302,096,937 and 466,490,490

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Solution

The third proportional to 302,096,937 and 466,490,490 is: 720,342,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,096,937 : 466,490,490 = 466,490,490 : x
  2. Step 2: Convert to fraction form
    302,096,937/466,490,490 = 466,490,490/x
  3. Step 3: Cross multiply
    302,096,937x = 466,490,490 × 466,490,490
  4. Step 4: Simplify right side
    302,096,937x = 217,613,377,260,440,096
  5. Step 5: Solve for x
    x = 217,613,377,260,440,096/302,096,937
  6. Step 6: Final answer
    x = 720,342,878.75

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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.