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Finding the Third Proportional to 151,012,564 and 233,194,948

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Solution

The third proportional to 151,012,564 and 233,194,948 is: 360,101,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,012,564 : 233,194,948 = 233,194,948 : x
  2. Step 2: Convert to fraction form
    151,012,564/233,194,948 = 233,194,948/x
  3. Step 3: Cross multiply
    151,012,564x = 233,194,948 × 233,194,948
  4. Step 4: Simplify right side
    151,012,564x = 54,379,883,772,722,704
  5. Step 5: Solve for x
    x = 54,379,883,772,722,704/151,012,564
  6. Step 6: Final answer
    x = 360,101,718.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.