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Finding the Third Proportional to 170,994,263 and 346,746,641.50

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Solution

The third proportional to 170,994,263 and 346,746,641.50 is: 703,141,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,994,263 : 346,746,641.50 = 346,746,641.50 : x
  2. Step 2: Convert to fraction form
    170,994,263/346,746,641.50 = 346,746,641.50/x
  3. Step 3: Cross multiply
    170,994,263x = 346,746,641.50 × 346,746,641.50
  4. Step 4: Simplify right side
    170,994,263x = 120,233,233,391,529,520
  5. Step 5: Solve for x
    x = 120,233,233,391,529,520/170,994,263
  6. Step 6: Final answer
    x = 703,141,914.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.