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Finding the Third Proportional to 127,541,955 and 198,031,396.50

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Solution

The third proportional to 127,541,955 and 198,031,396.50 is: 307,478,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,541,955 : 198,031,396.50 = 198,031,396.50 : x
  2. Step 2: Convert to fraction form
    127,541,955/198,031,396.50 = 198,031,396.50/x
  3. Step 3: Cross multiply
    127,541,955x = 198,031,396.50 × 198,031,396.50
  4. Step 4: Simplify right side
    127,541,955x = 39,216,433,999,740,216
  5. Step 5: Solve for x
    x = 39,216,433,999,740,216/127,541,955
  6. Step 6: Final answer
    x = 307,478,695.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.