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Finding the Third Proportional to 168,271,776 and 258,486,051

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Solution

The third proportional to 168,271,776 and 258,486,051 is: 397,066,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,271,776 : 258,486,051 = 258,486,051 : x
  2. Step 2: Convert to fraction form
    168,271,776/258,486,051 = 258,486,051/x
  3. Step 3: Cross multiply
    168,271,776x = 258,486,051 × 258,486,051
  4. Step 4: Simplify right side
    168,271,776x = 66,815,038,561,574,600
  5. Step 5: Solve for x
    x = 66,815,038,561,574,600/168,271,776
  6. Step 6: Final answer
    x = 397,066,223.16

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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.