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Finding the Third Proportional to 151,012,551 and 233,194,927.50

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Solution

The third proportional to 151,012,551 and 233,194,927.50 is: 360,101,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,012,551 : 233,194,927.50 = 233,194,927.50 : x
  2. Step 2: Convert to fraction form
    151,012,551/233,194,927.50 = 233,194,927.50/x
  3. Step 3: Cross multiply
    151,012,551x = 233,194,927.50 × 233,194,927.50
  4. Step 4: Simplify right side
    151,012,551x = 54,379,874,211,730,256
  5. Step 5: Solve for x
    x = 54,379,874,211,730,256/151,012,551
  6. Step 6: Final answer
    x = 360,101,685.93

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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.