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Finding the Third Proportional to 155,450,969 and 332,425,299

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Solution

The third proportional to 155,450,969 and 332,425,299 is: 710,877,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,450,969 : 332,425,299 = 332,425,299 : x
  2. Step 2: Convert to fraction form
    155,450,969/332,425,299 = 332,425,299/x
  3. Step 3: Cross multiply
    155,450,969x = 332,425,299 × 332,425,299
  4. Step 4: Simplify right side
    155,450,969x = 110,506,579,415,239,408
  5. Step 5: Solve for x
    x = 110,506,579,415,239,408/155,450,969
  6. Step 6: Final answer
    x = 710,877,391.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.