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Finding the Third Proportional to 106,760,927 and 233,094,046

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Solution

The third proportional to 106,760,927 and 233,094,046 is: 508,920,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,760,927 : 233,094,046 = 233,094,046 : x
  2. Step 2: Convert to fraction form
    106,760,927/233,094,046 = 233,094,046/x
  3. Step 3: Cross multiply
    106,760,927x = 233,094,046 × 233,094,046
  4. Step 4: Simplify right side
    106,760,927x = 54,332,834,280,650,112
  5. Step 5: Solve for x
    x = 54,332,834,280,650,112/106,760,927
  6. Step 6: Final answer
    x = 508,920,593.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.