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Finding the Third Proportional to 151,012,584 and 233,194,977

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Solution

The third proportional to 151,012,584 and 233,194,977 is: 360,101,760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,012,584 : 233,194,977 = 233,194,977 : x
  2. Step 2: Convert to fraction form
    151,012,584/233,194,977 = 233,194,977/x
  3. Step 3: Cross multiply
    151,012,584x = 233,194,977 × 233,194,977
  4. Step 4: Simplify right side
    151,012,584x = 54,379,897,298,030,528
  5. Step 5: Solve for x
    x = 54,379,897,298,030,528/151,012,584
  6. Step 6: Final answer
    x = 360,101,760.12

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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.