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Finding the Third Proportional to 121,046,354 and 250,705,728

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Solution

The third proportional to 121,046,354 and 250,705,728 is: 519,250,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,046,354 : 250,705,728 = 250,705,728 : x
  2. Step 2: Convert to fraction form
    121,046,354/250,705,728 = 250,705,728/x
  3. Step 3: Cross multiply
    121,046,354x = 250,705,728 × 250,705,728
  4. Step 4: Simplify right side
    121,046,354x = 62,853,362,052,009,984
  5. Step 5: Solve for x
    x = 62,853,362,052,009,984/121,046,354
  6. Step 6: Final answer
    x = 519,250,353.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.