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Finding the Third Proportional to 70,899,138 and 153,898,461

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Solution

The third proportional to 70,899,138 and 153,898,461 is: 334,062,401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,899,138 : 153,898,461 = 153,898,461 : x
  2. Step 2: Convert to fraction form
    70,899,138/153,898,461 = 153,898,461/x
  3. Step 3: Cross multiply
    70,899,138x = 153,898,461 × 153,898,461
  4. Step 4: Simplify right side
    70,899,138x = 23,684,736,298,168,520
  5. Step 5: Solve for x
    x = 23,684,736,298,168,520/70,899,138
  6. Step 6: Final answer
    x = 334,062,401.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.