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Finding the Third Proportional to 231,297,655,206 and 507,276,611,070

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Solution

The third proportional to 231,297,655,206 and 507,276,611,070 is: 1,112,547,206,366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,297,655,206 : 507,276,611,070 = 507,276,611,070 : x
  2. Step 2: Convert to fraction form
    231,297,655,206/507,276,611,070 = 507,276,611,070/x
  3. Step 3: Cross multiply
    231,297,655,206x = 507,276,611,070 × 507,276,611,070
  4. Step 4: Simplify right side
    231,297,655,206x = 257,329,560,138,664,053,309,440
  5. Step 5: Solve for x
    x = 257,329,560,138,664,053,309,440/231,297,655,206
  6. Step 6: Final answer
    x = 1,112,547,206,366.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.