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Finding the Third Proportional to 131,594,534 and 285,132,709

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Solution

The third proportional to 131,594,534 and 285,132,709 is: 617,811,844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,594,534 : 285,132,709 = 285,132,709 : x
  2. Step 2: Convert to fraction form
    131,594,534/285,132,709 = 285,132,709/x
  3. Step 3: Cross multiply
    131,594,534x = 285,132,709 × 285,132,709
  4. Step 4: Simplify right side
    131,594,534x = 81,300,661,741,678,688
  5. Step 5: Solve for x
    x = 81,300,661,741,678,688/131,594,534
  6. Step 6: Final answer
    x = 617,811,844.23

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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.