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Finding the Third Proportional to 179,971,878 and 268,778,475

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Solution

The third proportional to 179,971,878 and 268,778,475 is: 401,406,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,971,878 : 268,778,475 = 268,778,475 : x
  2. Step 2: Convert to fraction form
    179,971,878/268,778,475 = 268,778,475/x
  3. Step 3: Cross multiply
    179,971,878x = 268,778,475 × 268,778,475
  4. Step 4: Simplify right side
    179,971,878x = 72,241,868,623,325,632
  5. Step 5: Solve for x
    x = 72,241,868,623,325,632/179,971,878
  6. Step 6: Final answer
    x = 401,406,427.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.