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Finding the Third Proportional to 117,564,960 and 164,434,206

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Solution

The third proportional to 117,564,960 and 164,434,206 is: 229,988,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,564,960 : 164,434,206 = 164,434,206 : x
  2. Step 2: Convert to fraction form
    117,564,960/164,434,206 = 164,434,206/x
  3. Step 3: Cross multiply
    117,564,960x = 164,434,206 × 164,434,206
  4. Step 4: Simplify right side
    117,564,960x = 27,038,608,102,850,436
  5. Step 5: Solve for x
    x = 27,038,608,102,850,436/117,564,960
  6. Step 6: Final answer
    x = 229,988,664.16

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