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Finding the Third Proportional to 103,338,315 and 221,513,454

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Solution

The third proportional to 103,338,315 and 221,513,454 is: 474,830,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,338,315 : 221,513,454 = 221,513,454 : x
  2. Step 2: Convert to fraction form
    103,338,315/221,513,454 = 221,513,454/x
  3. Step 3: Cross multiply
    103,338,315x = 221,513,454 × 221,513,454
  4. Step 4: Simplify right side
    103,338,315x = 49,068,210,303,010,112
  5. Step 5: Solve for x
    x = 49,068,210,303,010,112/103,338,315
  6. Step 6: Final answer
    x = 474,830,756.66

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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.