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Finding the Third Proportional to 202,163,984 and 288,897,011

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Solution

The third proportional to 202,163,984 and 288,897,011 is: 412,840,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,163,984 : 288,897,011 = 288,897,011 : x
  2. Step 2: Convert to fraction form
    202,163,984/288,897,011 = 288,897,011/x
  3. Step 3: Cross multiply
    202,163,984x = 288,897,011 × 288,897,011
  4. Step 4: Simplify right side
    202,163,984x = 83,461,482,964,734,128
  5. Step 5: Solve for x
    x = 83,461,482,964,734,128/202,163,984
  6. Step 6: Final answer
    x = 412,840,513.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.