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Finding the Third Proportional to 49,883,046,181 and 103,301,977,200.50

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Solution

The third proportional to 49,883,046,181 and 103,301,977,200.50 is: 213,926,359,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,883,046,181 : 103,301,977,200.50 = 103,301,977,200.50 : x
  2. Step 2: Convert to fraction form
    49,883,046,181/103,301,977,200.50 = 103,301,977,200.50/x
  3. Step 3: Cross multiply
    49,883,046,181x = 103,301,977,200.50 × 103,301,977,200.50
  4. Step 4: Simplify right side
    49,883,046,181x = 10,671,298,493,532,621,242,368
  5. Step 5: Solve for x
    x = 10,671,298,493,532,621,242,368/49,883,046,181
  6. Step 6: Final answer
    x = 213,926,359,966.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.