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Finding the Third Proportional to 183,868,111,728 and 258,813,989,508

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Solution

The third proportional to 183,868,111,728 and 258,813,989,508 is: 364,308,310,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,868,111,728 : 258,813,989,508 = 258,813,989,508 : x
  2. Step 2: Convert to fraction form
    183,868,111,728/258,813,989,508 = 258,813,989,508/x
  3. Step 3: Cross multiply
    183,868,111,728x = 258,813,989,508 × 258,813,989,508
  4. Step 4: Simplify right side
    183,868,111,728x = 66,984,681,165,047,134,683,136
  5. Step 5: Solve for x
    x = 66,984,681,165,047,134,683,136/183,868,111,728
  6. Step 6: Final answer
    x = 364,308,310,644.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.