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Finding the Third Proportional to 250,023,097 and 538,447,545

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Solution

The third proportional to 250,023,097 and 538,447,545 is: 1,159,595,902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,023,097 : 538,447,545 = 538,447,545 : x
  2. Step 2: Convert to fraction form
    250,023,097/538,447,545 = 538,447,545/x
  3. Step 3: Cross multiply
    250,023,097x = 538,447,545 × 538,447,545
  4. Step 4: Simplify right side
    250,023,097x = 289,925,758,716,527,040
  5. Step 5: Solve for x
    x = 289,925,758,716,527,040/250,023,097
  6. Step 6: Final answer
    x = 1,159,595,902.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.