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Finding the Third Proportional to 116,241,881,985 and 181,950,293,623.50

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Solution

The third proportional to 116,241,881,985 and 181,950,293,623.50 is: 284,801,904,308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,241,881,985 : 181,950,293,623.50 = 181,950,293,623.50 : x
  2. Step 2: Convert to fraction form
    116,241,881,985/181,950,293,623.50 = 181,950,293,623.50/x
  3. Step 3: Cross multiply
    116,241,881,985x = 181,950,293,623.50 × 181,950,293,623.50
  4. Step 4: Simplify right side
    116,241,881,985x = 33,105,909,349,677,866,680,320
  5. Step 5: Solve for x
    x = 33,105,909,349,677,866,680,320/116,241,881,985
  6. Step 6: Final answer
    x = 284,801,904,308.04

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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.