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Finding the Third Proportional to 226,473,208,966 and 351,642,831,459

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Solution

The third proportional to 226,473,208,966 and 351,642,831,459 is: 545,992,532,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,473,208,966 : 351,642,831,459 = 351,642,831,459 : x
  2. Step 2: Convert to fraction form
    226,473,208,966/351,642,831,459 = 351,642,831,459/x
  3. Step 3: Cross multiply
    226,473,208,966x = 351,642,831,459 × 351,642,831,459
  4. Step 4: Simplify right side
    226,473,208,966x = 123,652,680,916,502,688,301,056
  5. Step 5: Solve for x
    x = 123,652,680,916,502,688,301,056/226,473,208,966
  6. Step 6: Final answer
    x = 545,992,532,543.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.