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Finding the Third Proportional to 127,347,498 and 201,973,729.50

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Solution

The third proportional to 127,347,498 and 201,973,729.50 is: 320,331,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,347,498 : 201,973,729.50 = 201,973,729.50 : x
  2. Step 2: Convert to fraction form
    127,347,498/201,973,729.50 = 201,973,729.50/x
  3. Step 3: Cross multiply
    127,347,498x = 201,973,729.50 × 201,973,729.50
  4. Step 4: Simplify right side
    127,347,498x = 40,793,387,408,139,168
  5. Step 5: Solve for x
    x = 40,793,387,408,139,168/127,347,498
  6. Step 6: Final answer
    x = 320,331,282.90

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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.