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Finding the Third Proportional to 78,043,296,729 and 124,182,227,158.50

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Solution

The third proportional to 78,043,296,729 and 124,182,227,158.50 is: 197,598,335,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,043,296,729 : 124,182,227,158.50 = 124,182,227,158.50 : x
  2. Step 2: Convert to fraction form
    78,043,296,729/124,182,227,158.50 = 124,182,227,158.50/x
  3. Step 3: Cross multiply
    78,043,296,729x = 124,182,227,158.50 × 124,182,227,158.50
  4. Step 4: Simplify right side
    78,043,296,729x = 15,421,225,542,045,294,133,248
  5. Step 5: Solve for x
    x = 15,421,225,542,045,294,133,248/78,043,296,729
  6. Step 6: Final answer
    x = 197,598,335,646.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.