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Finding the Third Proportional to 308,938,733.50 and 466,281,065.50

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Solution

The third proportional to 308,938,733.50 and 466,281,065.50 is: 703,757,763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,938,733.50 : 466,281,065.50 = 466,281,065.50 : x
  2. Step 2: Convert to fraction form
    308,938,733.50/466,281,065.50 = 466,281,065.50/x
  3. Step 3: Cross multiply
    308,938,733.50x = 466,281,065.50 × 466,281,065.50
  4. Step 4: Simplify right side
    308,938,733.50x = 217,418,032,043,815,296
  5. Step 5: Solve for x
    x = 217,418,032,043,815,296/308,938,733.50
  6. Step 6: Final answer
    x = 703,757,763.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.