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Finding the Third Proportional to 130,946,338.50 and 182,070,418.50

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Solution

The third proportional to 130,946,338.50 and 182,070,418.50 is: 253,154,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,946,338.50 : 182,070,418.50 = 182,070,418.50 : x
  2. Step 2: Convert to fraction form
    130,946,338.50/182,070,418.50 = 182,070,418.50/x
  3. Step 3: Cross multiply
    130,946,338.50x = 182,070,418.50 × 182,070,418.50
  4. Step 4: Simplify right side
    130,946,338.50x = 33,149,637,292,765,144
  5. Step 5: Solve for x
    x = 33,149,637,292,765,144/130,946,338.50
  6. Step 6: Final answer
    x = 253,154,365.92

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.