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Finding the Third Proportional to 248,357,151 and 522,456,750

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Solution

The third proportional to 248,357,151 and 522,456,750 is: 1,099,066,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,357,151 : 522,456,750 = 522,456,750 : x
  2. Step 2: Convert to fraction form
    248,357,151/522,456,750 = 522,456,750/x
  3. Step 3: Cross multiply
    248,357,151x = 522,456,750 × 522,456,750
  4. Step 4: Simplify right side
    248,357,151x = 272,961,055,620,562,496
  5. Step 5: Solve for x
    x = 272,961,055,620,562,496/248,357,151
  6. Step 6: Final answer
    x = 1,099,066,624.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.