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Finding the Third Proportional to 236,148,304.50 and 513,829,858.50

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Solution

The third proportional to 236,148,304.50 and 513,829,858.50 is: 1,118,030,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,148,304.50 : 513,829,858.50 = 513,829,858.50 : x
  2. Step 2: Convert to fraction form
    236,148,304.50/513,829,858.50 = 513,829,858.50/x
  3. Step 3: Cross multiply
    236,148,304.50x = 513,829,858.50 × 513,829,858.50
  4. Step 4: Simplify right side
    236,148,304.50x = 264,021,123,486,130,016
  5. Step 5: Solve for x
    x = 264,021,123,486,130,016/236,148,304.50
  6. Step 6: Final answer
    x = 1,118,030,993.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.