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Finding the Third Proportional to 47,528,725.50 and 100,164,268.13

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Solution

The third proportional to 47,528,725.50 and 100,164,268.13 is: 211,090,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,528,725.50 : 100,164,268.13 = 100,164,268.13 : x
  2. Step 2: Convert to fraction form
    47,528,725.50/100,164,268.13 = 100,164,268.13/x
  3. Step 3: Cross multiply
    47,528,725.50x = 100,164,268.13 × 100,164,268.13
  4. Step 4: Simplify right side
    47,528,725.50x = 10,032,880,609,016,892
  5. Step 5: Solve for x
    x = 10,032,880,609,016,892/47,528,725.50
  6. Step 6: Final answer
    x = 211,090,882.48

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.