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Finding the Third Proportional to 145,444,458 and 313,963,952

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Solution

The third proportional to 145,444,458 and 313,963,952 is: 677,738,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,444,458 : 313,963,952 = 313,963,952 : x
  2. Step 2: Convert to fraction form
    145,444,458/313,963,952 = 313,963,952/x
  3. Step 3: Cross multiply
    145,444,458x = 313,963,952 × 313,963,952
  4. Step 4: Simplify right side
    145,444,458x = 98,573,363,155,458,304
  5. Step 5: Solve for x
    x = 98,573,363,155,458,304/145,444,458
  6. Step 6: Final answer
    x = 677,738,873.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.