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Finding the Third Proportional to 97,397,143.50 and 214,273,485

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Solution

The third proportional to 97,397,143.50 and 214,273,485 is: 471,401,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,397,143.50 : 214,273,485 = 214,273,485 : x
  2. Step 2: Convert to fraction form
    97,397,143.50/214,273,485 = 214,273,485/x
  3. Step 3: Cross multiply
    97,397,143.50x = 214,273,485 × 214,273,485
  4. Step 4: Simplify right side
    97,397,143.50x = 45,913,126,374,045,224
  5. Step 5: Solve for x
    x = 45,913,126,374,045,224/97,397,143.50
  6. Step 6: Final answer
    x = 471,401,159.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.