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Finding the Third Proportional to 97,423,776 and 214,132,032

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Solution

The third proportional to 97,423,776 and 214,132,032 is: 470,650,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,423,776 : 214,132,032 = 214,132,032 : x
  2. Step 2: Convert to fraction form
    97,423,776/214,132,032 = 214,132,032/x
  3. Step 3: Cross multiply
    97,423,776x = 214,132,032 × 214,132,032
  4. Step 4: Simplify right side
    97,423,776x = 45,852,527,128,449,024
  5. Step 5: Solve for x
    x = 45,852,527,128,449,024/97,423,776
  6. Step 6: Final answer
    x = 470,650,276.67

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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.