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Finding the Third Proportional to 187,192,417.50 and 417,403,084.50

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Solution

The third proportional to 187,192,417.50 and 417,403,084.50 is: 930,728,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,192,417.50 : 417,403,084.50 = 417,403,084.50 : x
  2. Step 2: Convert to fraction form
    187,192,417.50/417,403,084.50 = 417,403,084.50/x
  3. Step 3: Cross multiply
    187,192,417.50x = 417,403,084.50 × 417,403,084.50
  4. Step 4: Simplify right side
    187,192,417.50x = 174,225,334,950,114,144
  5. Step 5: Solve for x
    x = 174,225,334,950,114,144/187,192,417.50
  6. Step 6: Final answer
    x = 930,728,590.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.