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Finding the Third Proportional to 224,787,513,055 and 485,402,257,199

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Solution

The third proportional to 224,787,513,055 and 485,402,257,199 is: 1,048,169,215,859.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,787,513,055 : 485,402,257,199 = 485,402,257,199 : x
  2. Step 2: Convert to fraction form
    224,787,513,055/485,402,257,199 = 485,402,257,199/x
  3. Step 3: Cross multiply
    224,787,513,055x = 485,402,257,199 × 485,402,257,199
  4. Step 4: Simplify right side
    224,787,513,055x = 235,615,351,293,884,139,307,008
  5. Step 5: Solve for x
    x = 235,615,351,293,884,139,307,008/224,787,513,055
  6. Step 6: Final answer
    x = 1,048,169,215,859.58

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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.