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Finding the Third Proportional to 154,148,461.59 and 359,692,164

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Solution

The third proportional to 154,148,461.59 and 359,692,164 is: 839,310,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,148,461.59 : 359,692,164 = 359,692,164 : x
  2. Step 2: Convert to fraction form
    154,148,461.59/359,692,164 = 359,692,164/x
  3. Step 3: Cross multiply
    154,148,461.59x = 359,692,164 × 359,692,164
  4. Step 4: Simplify right side
    154,148,461.59x = 129,378,452,843,002,896
  5. Step 5: Solve for x
    x = 129,378,452,843,002,896/154,148,461.59
  6. Step 6: Final answer
    x = 839,310,697.66

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.