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Finding the Third Proportional to 117,564,982 and 164,434,228

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Solution

The third proportional to 117,564,982 and 164,434,228 is: 229,988,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,564,982 : 164,434,228 = 164,434,228 : x
  2. Step 2: Convert to fraction form
    117,564,982/164,434,228 = 164,434,228/x
  3. Step 3: Cross multiply
    117,564,982x = 164,434,228 × 164,434,228
  4. Step 4: Simplify right side
    117,564,982x = 27,038,615,337,955,984
  5. Step 5: Solve for x
    x = 27,038,615,337,955,984/117,564,982
  6. Step 6: Final answer
    x = 229,988,682.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.