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Finding the Third Proportional to 159,462,027 and 249,821,820

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Solution

The third proportional to 159,462,027 and 249,821,820 is: 391,384,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,462,027 : 249,821,820 = 249,821,820 : x
  2. Step 2: Convert to fraction form
    159,462,027/249,821,820 = 249,821,820/x
  3. Step 3: Cross multiply
    159,462,027x = 249,821,820 × 249,821,820
  4. Step 4: Simplify right side
    159,462,027x = 62,410,941,748,112,400
  5. Step 5: Solve for x
    x = 62,410,941,748,112,400/159,462,027
  6. Step 6: Final answer
    x = 391,384,349.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.