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Finding the Third Proportional to 99,167,388 and 214,269,258

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Solution

The third proportional to 99,167,388 and 214,269,258 is: 462,967,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,167,388 : 214,269,258 = 214,269,258 : x
  2. Step 2: Convert to fraction form
    99,167,388/214,269,258 = 214,269,258/x
  3. Step 3: Cross multiply
    99,167,388x = 214,269,258 × 214,269,258
  4. Step 4: Simplify right side
    99,167,388x = 45,911,314,923,870,560
  5. Step 5: Solve for x
    x = 45,911,314,923,870,560/99,167,388
  6. Step 6: Final answer
    x = 462,967,875.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.