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Finding the Third Proportional to 159,462,034 and 249,821,830

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Solution

The third proportional to 159,462,034 and 249,821,830 is: 391,384,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,462,034 : 249,821,830 = 249,821,830 : x
  2. Step 2: Convert to fraction form
    159,462,034/249,821,830 = 249,821,830/x
  3. Step 3: Cross multiply
    159,462,034x = 249,821,830 × 249,821,830
  4. Step 4: Simplify right side
    159,462,034x = 62,410,946,744,548,896
  5. Step 5: Solve for x
    x = 62,410,946,744,548,896/159,462,034
  6. Step 6: Final answer
    x = 391,384,363.91

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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.