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Finding the Third Proportional to 117,854,422.88 and 178,411,632.75

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Solution

The third proportional to 117,854,422.88 and 178,411,632.75 is: 270,084,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,854,422.88 : 178,411,632.75 = 178,411,632.75 : x
  2. Step 2: Convert to fraction form
    117,854,422.88/178,411,632.75 = 178,411,632.75/x
  3. Step 3: Cross multiply
    117,854,422.88x = 178,411,632.75 × 178,411,632.75
  4. Step 4: Simplify right side
    117,854,422.88x = 31,830,710,700,520,872
  5. Step 5: Solve for x
    x = 31,830,710,700,520,872/117,854,422.88
  6. Step 6: Final answer
    x = 270,084,990.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.