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Finding the Third Proportional to 124,957,473,984 and 190,359,800,797.50

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Solution

The third proportional to 124,957,473,984 and 190,359,800,797.50 is: 289,993,488,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,957,473,984 : 190,359,800,797.50 = 190,359,800,797.50 : x
  2. Step 2: Convert to fraction form
    124,957,473,984/190,359,800,797.50 = 190,359,800,797.50/x
  3. Step 3: Cross multiply
    124,957,473,984x = 190,359,800,797.50 × 190,359,800,797.50
  4. Step 4: Simplify right side
    124,957,473,984x = 36,236,853,759,663,883,157,504
  5. Step 5: Solve for x
    x = 36,236,853,759,663,883,157,504/124,957,473,984
  6. Step 6: Final answer
    x = 289,993,488,219.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.