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Finding the Third Proportional to 45,205,542 and 99,010,368

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Solution

The third proportional to 45,205,542 and 99,010,368 is: 216,855,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,205,542 : 99,010,368 = 99,010,368 : x
  2. Step 2: Convert to fraction form
    45,205,542/99,010,368 = 99,010,368/x
  3. Step 3: Cross multiply
    45,205,542x = 99,010,368 × 99,010,368
  4. Step 4: Simplify right side
    45,205,542x = 9,803,052,971,495,424
  5. Step 5: Solve for x
    x = 9,803,052,971,495,424/45,205,542
  6. Step 6: Final answer
    x = 216,855,114.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.