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Finding the Third Proportional to 122,561,242.50 and 262,607,430

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Solution

The third proportional to 122,561,242.50 and 262,607,430 is: 562,679,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,561,242.50 : 262,607,430 = 262,607,430 : x
  2. Step 2: Convert to fraction form
    122,561,242.50/262,607,430 = 262,607,430/x
  3. Step 3: Cross multiply
    122,561,242.50x = 262,607,430 × 262,607,430
  4. Step 4: Simplify right side
    122,561,242.50x = 68,962,662,291,204,896
  5. Step 5: Solve for x
    x = 68,962,662,291,204,896/122,561,242.50
  6. Step 6: Final answer
    x = 562,679,203.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.