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Finding the Third Proportional to 244,298,189 and 505,602,490

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Solution

The third proportional to 244,298,189 and 505,602,490 is: 1,046,401,035.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,298,189 : 505,602,490 = 505,602,490 : x
  2. Step 2: Convert to fraction form
    244,298,189/505,602,490 = 505,602,490/x
  3. Step 3: Cross multiply
    244,298,189x = 505,602,490 × 505,602,490
  4. Step 4: Simplify right side
    244,298,189x = 255,633,877,894,200,096
  5. Step 5: Solve for x
    x = 255,633,877,894,200,096/244,298,189
  6. Step 6: Final answer
    x = 1,046,401,035.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.