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Finding the Third Proportional to 74,988,942.50 and 116,867,673.75

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Solution

The third proportional to 74,988,942.50 and 116,867,673.75 is: 182,134,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,988,942.50 : 116,867,673.75 = 116,867,673.75 : x
  2. Step 2: Convert to fraction form
    74,988,942.50/116,867,673.75 = 116,867,673.75/x
  3. Step 3: Cross multiply
    74,988,942.50x = 116,867,673.75 × 116,867,673.75
  4. Step 4: Simplify right side
    74,988,942.50x = 13,658,053,167,736,440
  5. Step 5: Solve for x
    x = 13,658,053,167,736,440/74,988,942.50
  6. Step 6: Final answer
    x = 182,134,228.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.