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Finding the Third Proportional to 151,012,562 and 233,194,944

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Solution

The third proportional to 151,012,562 and 233,194,944 is: 360,101,710.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,012,562 : 233,194,944 = 233,194,944 : x
  2. Step 2: Convert to fraction form
    151,012,562/233,194,944 = 233,194,944/x
  3. Step 3: Cross multiply
    151,012,562x = 233,194,944 × 233,194,944
  4. Step 4: Simplify right side
    151,012,562x = 54,379,881,907,163,136
  5. Step 5: Solve for x
    x = 54,379,881,907,163,136/151,012,562
  6. Step 6: Final answer
    x = 360,101,710.66

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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.