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Finding the Third Proportional to 121,816,210.50 and 253,670,689.50

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Solution

The third proportional to 121,816,210.50 and 253,670,689.50 is: 528,245,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,816,210.50 : 253,670,689.50 = 253,670,689.50 : x
  2. Step 2: Convert to fraction form
    121,816,210.50/253,670,689.50 = 253,670,689.50/x
  3. Step 3: Cross multiply
    121,816,210.50x = 253,670,689.50 × 253,670,689.50
  4. Step 4: Simplify right side
    121,816,210.50x = 64,348,818,711,405,408
  5. Step 5: Solve for x
    x = 64,348,818,711,405,408/121,816,210.50
  6. Step 6: Final answer
    x = 528,245,119.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.