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Finding the Third Proportional to 86,344,085 and 176,156,570

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Solution

The third proportional to 86,344,085 and 176,156,570 is: 359,389,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,344,085 : 176,156,570 = 176,156,570 : x
  2. Step 2: Convert to fraction form
    86,344,085/176,156,570 = 176,156,570/x
  3. Step 3: Cross multiply
    86,344,085x = 176,156,570 × 176,156,570
  4. Step 4: Simplify right side
    86,344,085x = 31,031,137,154,164,900
  5. Step 5: Solve for x
    x = 31,031,137,154,164,900/86,344,085
  6. Step 6: Final answer
    x = 359,389,263.95

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.