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Finding the Third Proportional to 223,971,066 and 465,820,852.50

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Solution

The third proportional to 223,971,066 and 465,820,852.50 is: 968,826,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,971,066 : 465,820,852.50 = 465,820,852.50 : x
  2. Step 2: Convert to fraction form
    223,971,066/465,820,852.50 = 465,820,852.50/x
  3. Step 3: Cross multiply
    223,971,066x = 465,820,852.50 × 465,820,852.50
  4. Step 4: Simplify right side
    223,971,066x = 216,989,066,623,826,752
  5. Step 5: Solve for x
    x = 216,989,066,623,826,752/223,971,066
  6. Step 6: Final answer
    x = 968,826,333.24

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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.