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Finding the Third Proportional to 147,533,580 and 237,046,770

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Solution

The third proportional to 147,533,580 and 237,046,770 is: 380,870,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,533,580 : 237,046,770 = 237,046,770 : x
  2. Step 2: Convert to fraction form
    147,533,580/237,046,770 = 237,046,770/x
  3. Step 3: Cross multiply
    147,533,580x = 237,046,770 × 237,046,770
  4. Step 4: Simplify right side
    147,533,580x = 56,191,171,167,432,896
  5. Step 5: Solve for x
    x = 56,191,171,167,432,896/147,533,580
  6. Step 6: Final answer
    x = 380,870,383.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.