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Finding the Third Proportional to 95,365,084.25 and 205,975,742.50

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Solution

The third proportional to 95,365,084.25 and 205,975,742.50 is: 444,879,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,365,084.25 : 205,975,742.50 = 205,975,742.50 : x
  2. Step 2: Convert to fraction form
    95,365,084.25/205,975,742.50 = 205,975,742.50/x
  3. Step 3: Cross multiply
    95,365,084.25x = 205,975,742.50 × 205,975,742.50
  4. Step 4: Simplify right side
    95,365,084.25x = 42,426,006,498,426,304
  5. Step 5: Solve for x
    x = 42,426,006,498,426,304/95,365,084.25
  6. Step 6: Final answer
    x = 444,879,872.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.