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Finding the Third Proportional to 199,529,385,416 and 434,183,989,264

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Solution

The third proportional to 199,529,385,416 and 434,183,989,264 is: 944,801,870,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,529,385,416 : 434,183,989,264 = 434,183,989,264 : x
  2. Step 2: Convert to fraction form
    199,529,385,416/434,183,989,264 = 434,183,989,264/x
  3. Step 3: Cross multiply
    199,529,385,416x = 434,183,989,264 × 434,183,989,264
  4. Step 4: Simplify right side
    199,529,385,416x = 188,515,736,533,201,259,069,440
  5. Step 5: Solve for x
    x = 188,515,736,533,201,259,069,440/199,529,385,416
  6. Step 6: Final answer
    x = 944,801,870,361.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.