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Finding the Third Proportional to 152,074,469 and 312,210,863

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Solution

The third proportional to 152,074,469 and 312,210,863 is: 640,972,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,074,469 : 312,210,863 = 312,210,863 : x
  2. Step 2: Convert to fraction form
    152,074,469/312,210,863 = 312,210,863/x
  3. Step 3: Cross multiply
    152,074,469x = 312,210,863 × 312,210,863
  4. Step 4: Simplify right side
    152,074,469x = 97,475,622,975,204,768
  5. Step 5: Solve for x
    x = 97,475,622,975,204,768/152,074,469
  6. Step 6: Final answer
    x = 640,972,962.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.