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Finding the Third Proportional to 233,456,216 and 358,096,884

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Solution

The third proportional to 233,456,216 and 358,096,884 is: 549,282,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,456,216 : 358,096,884 = 358,096,884 : x
  2. Step 2: Convert to fraction form
    233,456,216/358,096,884 = 358,096,884/x
  3. Step 3: Cross multiply
    233,456,216x = 358,096,884 × 358,096,884
  4. Step 4: Simplify right side
    233,456,216x = 128,233,378,330,509,456
  5. Step 5: Solve for x
    x = 128,233,378,330,509,456/233,456,216
  6. Step 6: Final answer
    x = 549,282,347.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.