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Finding the Third Proportional to 70,724,165 and 154,595,971

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Solution

The third proportional to 70,724,165 and 154,595,971 is: 337,931,373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,724,165 : 154,595,971 = 154,595,971 : x
  2. Step 2: Convert to fraction form
    70,724,165/154,595,971 = 154,595,971/x
  3. Step 3: Cross multiply
    70,724,165x = 154,595,971 × 154,595,971
  4. Step 4: Simplify right side
    70,724,165x = 23,899,914,249,432,840
  5. Step 5: Solve for x
    x = 23,899,914,249,432,840/70,724,165
  6. Step 6: Final answer
    x = 337,931,373.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.