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Finding the Third Proportional to 205,954,731 and 305,368,384.50

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Solution

The third proportional to 205,954,731 and 305,368,384.50 is: 452,768,673.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,954,731 : 305,368,384.50 = 305,368,384.50 : x
  2. Step 2: Convert to fraction form
    205,954,731/305,368,384.50 = 305,368,384.50/x
  3. Step 3: Cross multiply
    205,954,731x = 305,368,384.50 × 305,368,384.50
  4. Step 4: Simplify right side
    205,954,731x = 93,249,850,252,139,840
  5. Step 5: Solve for x
    x = 93,249,850,252,139,840/205,954,731
  6. Step 6: Final answer
    x = 452,768,673.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.