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Finding the Third Proportional to 140,516,937 and 304,490,962.69

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Solution

The third proportional to 140,516,937 and 304,490,962.69 is: 659,811,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,516,937 : 304,490,962.69 = 304,490,962.69 : x
  2. Step 2: Convert to fraction form
    140,516,937/304,490,962.69 = 304,490,962.69/x
  3. Step 3: Cross multiply
    140,516,937x = 304,490,962.69 × 304,490,962.69
  4. Step 4: Simplify right side
    140,516,937x = 92,714,746,358,360,512
  5. Step 5: Solve for x
    x = 92,714,746,358,360,512/140,516,937
  6. Step 6: Final answer
    x = 659,811,894.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.