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Finding the Third Proportional to 114,771,496 and 245,916,632

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Solution

The third proportional to 114,771,496 and 245,916,632 is: 526,916,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,771,496 : 245,916,632 = 245,916,632 : x
  2. Step 2: Convert to fraction form
    114,771,496/245,916,632 = 245,916,632/x
  3. Step 3: Cross multiply
    114,771,496x = 245,916,632 × 245,916,632
  4. Step 4: Simplify right side
    114,771,496x = 60,474,989,894,223,424
  5. Step 5: Solve for x
    x = 60,474,989,894,223,424/114,771,496
  6. Step 6: Final answer
    x = 526,916,455.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.