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Finding the Third Proportional to 153,698,025 and 237,729,145.50

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Solution

The third proportional to 153,698,025 and 237,729,145.50 is: 367,702,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,698,025 : 237,729,145.50 = 237,729,145.50 : x
  2. Step 2: Convert to fraction form
    153,698,025/237,729,145.50 = 237,729,145.50/x
  3. Step 3: Cross multiply
    153,698,025x = 237,729,145.50 × 237,729,145.50
  4. Step 4: Simplify right side
    153,698,025x = 56,515,146,620,160,168
  5. Step 5: Solve for x
    x = 56,515,146,620,160,168/153,698,025
  6. Step 6: Final answer
    x = 367,702,490.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.