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Finding the Third Proportional to 155,450,976 and 332,425,312.50

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Solution

The third proportional to 155,450,976 and 332,425,312.50 is: 710,877,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,450,976 : 332,425,312.50 = 332,425,312.50 : x
  2. Step 2: Convert to fraction form
    155,450,976/332,425,312.50 = 332,425,312.50/x
  3. Step 3: Cross multiply
    155,450,976x = 332,425,312.50 × 332,425,312.50
  4. Step 4: Simplify right side
    155,450,976x = 110,506,588,390,722,656
  5. Step 5: Solve for x
    x = 110,506,588,390,722,656/155,450,976
  6. Step 6: Final answer
    x = 710,877,417.65

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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.