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Finding the Third Proportional to 153,520,896 and 219,536,688

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Solution

The third proportional to 153,520,896 and 219,536,688 is: 313,940,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,520,896 : 219,536,688 = 219,536,688 : x
  2. Step 2: Convert to fraction form
    153,520,896/219,536,688 = 219,536,688/x
  3. Step 3: Cross multiply
    153,520,896x = 219,536,688 × 219,536,688
  4. Step 4: Simplify right side
    153,520,896x = 48,196,357,378,009,344
  5. Step 5: Solve for x
    x = 48,196,357,378,009,344/153,520,896
  6. Step 6: Final answer
    x = 313,940,047.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.