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Finding the Third Proportional to 51,232,991 and 109,788,058

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Solution

The third proportional to 51,232,991 and 109,788,058 is: 235,266,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,232,991 : 109,788,058 = 109,788,058 : x
  2. Step 2: Convert to fraction form
    51,232,991/109,788,058 = 109,788,058/x
  3. Step 3: Cross multiply
    51,232,991x = 109,788,058 × 109,788,058
  4. Step 4: Simplify right side
    51,232,991x = 12,053,417,679,411,364
  5. Step 5: Solve for x
    x = 12,053,417,679,411,364/51,232,991
  6. Step 6: Final answer
    x = 235,266,718.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.