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Finding the Third Proportional to 149,886,733.50 and 346,966,213.50

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Solution

The third proportional to 149,886,733.50 and 346,966,213.50 is: 803,176,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,886,733.50 : 346,966,213.50 = 346,966,213.50 : x
  2. Step 2: Convert to fraction form
    149,886,733.50/346,966,213.50 = 346,966,213.50/x
  3. Step 3: Cross multiply
    149,886,733.50x = 346,966,213.50 × 346,966,213.50
  4. Step 4: Simplify right side
    149,886,733.50x = 120,385,553,310,527,584
  5. Step 5: Solve for x
    x = 120,385,553,310,527,584/149,886,733.50
  6. Step 6: Final answer
    x = 803,176,842.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.