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Finding the Third Proportional to 143,510,314,310 and 307,490,415,229

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Solution

The third proportional to 143,510,314,310 and 307,490,415,229 is: 658,840,139,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,510,314,310 : 307,490,415,229 = 307,490,415,229 : x
  2. Step 2: Convert to fraction form
    143,510,314,310/307,490,415,229 = 307,490,415,229/x
  3. Step 3: Cross multiply
    143,510,314,310x = 307,490,415,229 × 307,490,415,229
  4. Step 4: Simplify right side
    143,510,314,310x = 94,550,355,457,702,839,189,504
  5. Step 5: Solve for x
    x = 94,550,355,457,702,839,189,504/143,510,314,310
  6. Step 6: Final answer
    x = 658,840,139,207.43

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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.