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Finding the Third Proportional to 223,697,382 and 478,484,184

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Solution

The third proportional to 223,697,382 and 478,484,184 is: 1,023,468,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,697,382 : 478,484,184 = 478,484,184 : x
  2. Step 2: Convert to fraction form
    223,697,382/478,484,184 = 478,484,184/x
  3. Step 3: Cross multiply
    223,697,382x = 478,484,184 × 478,484,184
  4. Step 4: Simplify right side
    223,697,382x = 228,947,114,338,145,856
  5. Step 5: Solve for x
    x = 228,947,114,338,145,856/223,697,382
  6. Step 6: Final answer
    x = 1,023,468,009.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.