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Finding the Third Proportional to 146,274,337.50 and 304,655,421

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Solution

The third proportional to 146,274,337.50 and 304,655,421 is: 634,526,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,274,337.50 : 304,655,421 = 304,655,421 : x
  2. Step 2: Convert to fraction form
    146,274,337.50/304,655,421 = 304,655,421/x
  3. Step 3: Cross multiply
    146,274,337.50x = 304,655,421 × 304,655,421
  4. Step 4: Simplify right side
    146,274,337.50x = 92,814,925,544,687,248
  5. Step 5: Solve for x
    x = 92,814,925,544,687,248/146,274,337.50
  6. Step 6: Final answer
    x = 634,526,377.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.