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Finding the Third Proportional to 228,915,276 and 495,831,864

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Solution

The third proportional to 228,915,276 and 495,831,864 is: 1,073,974,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,915,276 : 495,831,864 = 495,831,864 : x
  2. Step 2: Convert to fraction form
    228,915,276/495,831,864 = 495,831,864/x
  3. Step 3: Cross multiply
    228,915,276x = 495,831,864 × 495,831,864
  4. Step 4: Simplify right side
    228,915,276x = 245,849,237,357,714,496
  5. Step 5: Solve for x
    x = 245,849,237,357,714,496/228,915,276
  6. Step 6: Final answer
    x = 1,073,974,798.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.