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Finding the Third Proportional to 43,460,947 and 92,102,897

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Solution

The third proportional to 43,460,947 and 92,102,897 is: 195,185,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,460,947 : 92,102,897 = 92,102,897 : x
  2. Step 2: Convert to fraction form
    43,460,947/92,102,897 = 92,102,897/x
  3. Step 3: Cross multiply
    43,460,947x = 92,102,897 × 92,102,897
  4. Step 4: Simplify right side
    43,460,947x = 8,482,943,635,792,609
  5. Step 5: Solve for x
    x = 8,482,943,635,792,609/43,460,947
  6. Step 6: Final answer
    x = 195,185,430.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.