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Finding the Third Proportional to 176,564,155 and 275,574,698

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Solution

The third proportional to 176,564,155 and 275,574,698 is: 430,106,632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,564,155 : 275,574,698 = 275,574,698 : x
  2. Step 2: Convert to fraction form
    176,564,155/275,574,698 = 275,574,698/x
  3. Step 3: Cross multiply
    176,564,155x = 275,574,698 × 275,574,698
  4. Step 4: Simplify right side
    176,564,155x = 75,941,414,177,791,200
  5. Step 5: Solve for x
    x = 75,941,414,177,791,200/176,564,155
  6. Step 6: Final answer
    x = 430,106,632.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.