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Finding the Third Proportional to 224,787,513,053 and 485,402,257,195

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Solution

The third proportional to 224,787,513,053 and 485,402,257,195 is: 1,048,169,215,851.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,787,513,053 : 485,402,257,195 = 485,402,257,195 : x
  2. Step 2: Convert to fraction form
    224,787,513,053/485,402,257,195 = 485,402,257,195/x
  3. Step 3: Cross multiply
    224,787,513,053x = 485,402,257,195 × 485,402,257,195
  4. Step 4: Simplify right side
    224,787,513,053x = 235,615,351,290,000,918,446,080
  5. Step 5: Solve for x
    x = 235,615,351,290,000,918,446,080/224,787,513,053
  6. Step 6: Final answer
    x = 1,048,169,215,851.63

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