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Finding the Third Proportional to 153,242,401 and 340,497,024

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Solution

The third proportional to 153,242,401 and 340,497,024 is: 756,567,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,242,401 : 340,497,024 = 340,497,024 : x
  2. Step 2: Convert to fraction form
    153,242,401/340,497,024 = 340,497,024/x
  3. Step 3: Cross multiply
    153,242,401x = 340,497,024 × 340,497,024
  4. Step 4: Simplify right side
    153,242,401x = 115,938,223,352,856,576
  5. Step 5: Solve for x
    x = 115,938,223,352,856,576/153,242,401
  6. Step 6: Final answer
    x = 756,567,520.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.