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Finding the Third Proportional to 306,159,857.16 and 472,776,769.41

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Solution

The third proportional to 306,159,857.16 and 472,776,769.41 is: 730,069,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,159,857.16 : 472,776,769.41 = 472,776,769.41 : x
  2. Step 2: Convert to fraction form
    306,159,857.16/472,776,769.41 = 472,776,769.41/x
  3. Step 3: Cross multiply
    306,159,857.16x = 472,776,769.41 × 472,776,769.41
  4. Step 4: Simplify right side
    306,159,857.16x = 223,517,873,690,210,496
  5. Step 5: Solve for x
    x = 223,517,873,690,210,496/306,159,857.16
  6. Step 6: Final answer
    x = 730,069,172.90

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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.