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Finding the Third Proportional to 182,851,141.50 and 390,500,676

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Solution

The third proportional to 182,851,141.50 and 390,500,676 is: 833,961,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,851,141.50 : 390,500,676 = 390,500,676 : x
  2. Step 2: Convert to fraction form
    182,851,141.50/390,500,676 = 390,500,676/x
  3. Step 3: Cross multiply
    182,851,141.50x = 390,500,676 × 390,500,676
  4. Step 4: Simplify right side
    182,851,141.50x = 152,490,777,956,456,960
  5. Step 5: Solve for x
    x = 152,490,777,956,456,960/182,851,141.50
  6. Step 6: Final answer
    x = 833,961,312.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.