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Finding the Third Proportional to 210,105,594 and 335,648,151

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Solution

The third proportional to 210,105,594 and 335,648,151 is: 536,205,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,105,594 : 335,648,151 = 335,648,151 : x
  2. Step 2: Convert to fraction form
    210,105,594/335,648,151 = 335,648,151/x
  3. Step 3: Cross multiply
    210,105,594x = 335,648,151 × 335,648,151
  4. Step 4: Simplify right side
    210,105,594x = 112,659,681,269,718,800
  5. Step 5: Solve for x
    x = 112,659,681,269,718,800/210,105,594
  6. Step 6: Final answer
    x = 536,205,053.49

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.