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Finding the Third Proportional to 106,776,576 and 233,125,344

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Solution

The third proportional to 106,776,576 and 233,125,344 is: 508,982,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,776,576 : 233,125,344 = 233,125,344 : x
  2. Step 2: Convert to fraction form
    106,776,576/233,125,344 = 233,125,344/x
  3. Step 3: Cross multiply
    106,776,576x = 233,125,344 × 233,125,344
  4. Step 4: Simplify right side
    106,776,576x = 54,347,426,015,118,336
  5. Step 5: Solve for x
    x = 54,347,426,015,118,336/106,776,576
  6. Step 6: Final answer
    x = 508,982,663.16

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Why These Related Problems?

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