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Finding the Third Proportional to 145,355,778 and 223,422,241.50

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Solution

The third proportional to 145,355,778 and 223,422,241.50 is: 343,415,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,355,778 : 223,422,241.50 = 223,422,241.50 : x
  2. Step 2: Convert to fraction form
    145,355,778/223,422,241.50 = 223,422,241.50/x
  3. Step 3: Cross multiply
    145,355,778x = 223,422,241.50 × 223,422,241.50
  4. Step 4: Simplify right side
    145,355,778x = 49,917,497,996,884,320
  5. Step 5: Solve for x
    x = 49,917,497,996,884,320/145,355,778
  6. Step 6: Final answer
    x = 343,415,987.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.