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Finding the Third Proportional to 116,241,881,872.50 and 181,950,293,412

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Solution

The third proportional to 116,241,881,872.50 and 181,950,293,412 is: 284,801,903,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,241,881,872.50 : 181,950,293,412 = 181,950,293,412 : x
  2. Step 2: Convert to fraction form
    116,241,881,872.50/181,950,293,412 = 181,950,293,412/x
  3. Step 3: Cross multiply
    116,241,881,872.50x = 181,950,293,412 × 181,950,293,412
  4. Step 4: Simplify right side
    116,241,881,872.50x = 33,105,909,272,712,891,596,800
  5. Step 5: Solve for x
    x = 33,105,909,272,712,891,596,800/116,241,881,872.50
  6. Step 6: Final answer
    x = 284,801,903,921.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.