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Finding the Third Proportional to 93,137,706 and 195,927,291

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Solution

The third proportional to 93,137,706 and 195,927,291 is: 412,158,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,137,706 : 195,927,291 = 195,927,291 : x
  2. Step 2: Convert to fraction form
    93,137,706/195,927,291 = 195,927,291/x
  3. Step 3: Cross multiply
    93,137,706x = 195,927,291 × 195,927,291
  4. Step 4: Simplify right side
    93,137,706x = 38,387,503,358,598,680
  5. Step 5: Solve for x
    x = 38,387,503,358,598,680/93,137,706
  6. Step 6: Final answer
    x = 412,158,566.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.