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Finding the Third Proportional to 180,809,885.81 and 392,443,349.63

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Solution

The third proportional to 180,809,885.81 and 392,443,349.63 is: 851,788,506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,809,885.81 : 392,443,349.63 = 392,443,349.63 : x
  2. Step 2: Convert to fraction form
    180,809,885.81/392,443,349.63 = 392,443,349.63/x
  3. Step 3: Cross multiply
    180,809,885.81x = 392,443,349.63 × 392,443,349.63
  4. Step 4: Simplify right side
    180,809,885.81x = 154,011,782,664,889,984
  5. Step 5: Solve for x
    x = 154,011,782,664,889,984/180,809,885.81
  6. Step 6: Final answer
    x = 851,788,506.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.