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Finding the Third Proportional to 85,931,882 and 175,834,810

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Solution

The third proportional to 85,931,882 and 175,834,810 is: 359,795,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,931,882 : 175,834,810 = 175,834,810 : x
  2. Step 2: Convert to fraction form
    85,931,882/175,834,810 = 175,834,810/x
  3. Step 3: Cross multiply
    85,931,882x = 175,834,810 × 175,834,810
  4. Step 4: Simplify right side
    85,931,882x = 30,917,880,407,736,100
  5. Step 5: Solve for x
    x = 30,917,880,407,736,100/85,931,882
  6. Step 6: Final answer
    x = 359,795,220.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.