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Finding the Third Proportional to 205,288,154 and 425,127,796

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Solution

The third proportional to 205,288,154 and 425,127,796 is: 880,390,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,288,154 : 425,127,796 = 425,127,796 : x
  2. Step 2: Convert to fraction form
    205,288,154/425,127,796 = 425,127,796/x
  3. Step 3: Cross multiply
    205,288,154x = 425,127,796 × 425,127,796
  4. Step 4: Simplify right side
    205,288,154x = 180,733,642,931,817,600
  5. Step 5: Solve for x
    x = 180,733,642,931,817,600/205,288,154
  6. Step 6: Final answer
    x = 880,390,024.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.