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Finding the Third Proportional to 75,830,559.75 and 163,341,724.50

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Solution

The third proportional to 75,830,559.75 and 163,341,724.50 is: 351,843,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,830,559.75 : 163,341,724.50 = 163,341,724.50 : x
  2. Step 2: Convert to fraction form
    75,830,559.75/163,341,724.50 = 163,341,724.50/x
  3. Step 3: Cross multiply
    75,830,559.75x = 163,341,724.50 × 163,341,724.50
  4. Step 4: Simplify right side
    75,830,559.75x = 26,680,518,962,633,900
  5. Step 5: Solve for x
    x = 26,680,518,962,633,900/75,830,559.75
  6. Step 6: Final answer
    x = 351,843,887.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.