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Finding the Third Proportional to 176,564,157 and 275,574,700

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Solution

The third proportional to 176,564,157 and 275,574,700 is: 430,106,634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,564,157 : 275,574,700 = 275,574,700 : x
  2. Step 2: Convert to fraction form
    176,564,157/275,574,700 = 275,574,700/x
  3. Step 3: Cross multiply
    176,564,157x = 275,574,700 × 275,574,700
  4. Step 4: Simplify right side
    176,564,157x = 75,941,415,280,090,000
  5. Step 5: Solve for x
    x = 75,941,415,280,090,000/176,564,157
  6. Step 6: Final answer
    x = 430,106,634.16

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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.