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Finding the Third Proportional to 96,758,330 and 208,908,808

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Solution

The third proportional to 96,758,330 and 208,908,808 is: 451,050,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,758,330 : 208,908,808 = 208,908,808 : x
  2. Step 2: Convert to fraction form
    96,758,330/208,908,808 = 208,908,808/x
  3. Step 3: Cross multiply
    96,758,330x = 208,908,808 × 208,908,808
  4. Step 4: Simplify right side
    96,758,330x = 43,642,890,059,980,864
  5. Step 5: Solve for x
    x = 43,642,890,059,980,864/96,758,330
  6. Step 6: Final answer
    x = 451,050,468.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.