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Finding the Third Proportional to 71,658,877.50 and 108,082,208.25

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Solution

The third proportional to 71,658,877.50 and 108,082,208.25 is: 163,019,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,658,877.50 : 108,082,208.25 = 108,082,208.25 : x
  2. Step 2: Convert to fraction form
    71,658,877.50/108,082,208.25 = 108,082,208.25/x
  3. Step 3: Cross multiply
    71,658,877.50x = 108,082,208.25 × 108,082,208.25
  4. Step 4: Simplify right side
    71,658,877.50x = 11,681,763,740,196,368
  5. Step 5: Solve for x
    x = 11,681,763,740,196,368/71,658,877.50
  6. Step 6: Final answer
    x = 163,019,072.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.