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Finding the Third Proportional to 95,781,144 and 210,103,675.50

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Solution

The third proportional to 95,781,144 and 210,103,675.50 is: 460,879,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,781,144 : 210,103,675.50 = 210,103,675.50 : x
  2. Step 2: Convert to fraction form
    95,781,144/210,103,675.50 = 210,103,675.50/x
  3. Step 3: Cross multiply
    95,781,144x = 210,103,675.50 × 210,103,675.50
  4. Step 4: Simplify right side
    95,781,144x = 44,143,554,458,609,304
  5. Step 5: Solve for x
    x = 44,143,554,458,609,304/95,781,144
  6. Step 6: Final answer
    x = 460,879,382.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.