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Finding the Third Proportional to 212,366,963,085 and 455,025,365,517

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Solution

The third proportional to 212,366,963,085 and 455,025,365,517 is: 974,954,297,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,366,963,085 : 455,025,365,517 = 455,025,365,517 : x
  2. Step 2: Convert to fraction form
    212,366,963,085/455,025,365,517 = 455,025,365,517/x
  3. Step 3: Cross multiply
    212,366,963,085x = 455,025,365,517 × 455,025,365,517
  4. Step 4: Simplify right side
    212,366,963,085x = 207,048,083,263,879,460,683,776
  5. Step 5: Solve for x
    x = 207,048,083,263,879,460,683,776/212,366,963,085
  6. Step 6: Final answer
    x = 974,954,297,298.16

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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.