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Finding the Third Proportional to 144,240,534 and 340,151,400

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Solution

The third proportional to 144,240,534 and 340,151,400 is: 802,152,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,240,534 : 340,151,400 = 340,151,400 : x
  2. Step 2: Convert to fraction form
    144,240,534/340,151,400 = 340,151,400/x
  3. Step 3: Cross multiply
    144,240,534x = 340,151,400 × 340,151,400
  4. Step 4: Simplify right side
    144,240,534x = 115,702,974,921,960,000
  5. Step 5: Solve for x
    x = 115,702,974,921,960,000/144,240,534
  6. Step 6: Final answer
    x = 802,152,985.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.