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Finding the Third Proportional to 50,909,957,964 and 103,271,550,300

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Solution

The third proportional to 50,909,957,964 and 103,271,550,300 is: 209,487,760,899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,909,957,964 : 103,271,550,300 = 103,271,550,300 : x
  2. Step 2: Convert to fraction form
    50,909,957,964/103,271,550,300 = 103,271,550,300/x
  3. Step 3: Cross multiply
    50,909,957,964x = 103,271,550,300 × 103,271,550,300
  4. Step 4: Simplify right side
    50,909,957,964x = 10,665,013,101,365,429,272,576
  5. Step 5: Solve for x
    x = 10,665,013,101,365,429,272,576/50,909,957,964
  6. Step 6: Final answer
    x = 209,487,760,899.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.