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Finding the Third Proportional to 223,971,069 and 465,820,858.50

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Solution

The third proportional to 223,971,069 and 465,820,858.50 is: 968,826,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,971,069 : 465,820,858.50 = 465,820,858.50 : x
  2. Step 2: Convert to fraction form
    223,971,069/465,820,858.50 = 465,820,858.50/x
  3. Step 3: Cross multiply
    223,971,069x = 465,820,858.50 × 465,820,858.50
  4. Step 4: Simplify right side
    223,971,069x = 216,989,072,213,677,024
  5. Step 5: Solve for x
    x = 216,989,072,213,677,024/223,971,069
  6. Step 6: Final answer
    x = 968,826,345.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.