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Finding the Third Proportional to 195,485,490 and 286,837,766

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Solution

The third proportional to 195,485,490 and 286,837,766 is: 420,879,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,485,490 : 286,837,766 = 286,837,766 : x
  2. Step 2: Convert to fraction form
    195,485,490/286,837,766 = 286,837,766/x
  3. Step 3: Cross multiply
    195,485,490x = 286,837,766 × 286,837,766
  4. Step 4: Simplify right side
    195,485,490x = 82,275,904,003,870,752
  5. Step 5: Solve for x
    x = 82,275,904,003,870,752/195,485,490
  6. Step 6: Final answer
    x = 420,879,851.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.