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Finding the Third Proportional to 101,223,498 and 209,624,730

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Solution

The third proportional to 101,223,498 and 209,624,730 is: 434,113,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,223,498 : 209,624,730 = 209,624,730 : x
  2. Step 2: Convert to fraction form
    101,223,498/209,624,730 = 209,624,730/x
  3. Step 3: Cross multiply
    101,223,498x = 209,624,730 × 209,624,730
  4. Step 4: Simplify right side
    101,223,498x = 43,942,527,427,572,896
  5. Step 5: Solve for x
    x = 43,942,527,427,572,896/101,223,498
  6. Step 6: Final answer
    x = 434,113,899.40

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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.