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Finding the Third Proportional to 48,784,449 and 96,335,106

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Solution

The third proportional to 48,784,449 and 96,335,106 is: 190,233,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784,449 : 96,335,106 = 96,335,106 : x
  2. Step 2: Convert to fraction form
    48,784,449/96,335,106 = 96,335,106/x
  3. Step 3: Cross multiply
    48,784,449x = 96,335,106 × 96,335,106
  4. Step 4: Simplify right side
    48,784,449x = 9,280,452,648,031,236
  5. Step 5: Solve for x
    x = 9,280,452,648,031,236/48,784,449
  6. Step 6: Final answer
    x = 190,233,831.44

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.