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Finding the Third Proportional to 243,525,864.50 and 531,706,267

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Solution

The third proportional to 243,525,864.50 and 531,706,267 is: 1,160,909,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,525,864.50 : 531,706,267 = 531,706,267 : x
  2. Step 2: Convert to fraction form
    243,525,864.50/531,706,267 = 531,706,267/x
  3. Step 3: Cross multiply
    243,525,864.50x = 531,706,267 × 531,706,267
  4. Step 4: Simplify right side
    243,525,864.50x = 282,711,554,367,075,296
  5. Step 5: Solve for x
    x = 282,711,554,367,075,296/243,525,864.50
  6. Step 6: Final answer
    x = 1,160,909,765.98

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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.