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Finding the Third Proportional to 156,116,028,048 and 210,637,174,224

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Solution

The third proportional to 156,116,028,048 and 210,637,174,224 is: 284,199,000,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,116,028,048 : 210,637,174,224 = 210,637,174,224 : x
  2. Step 2: Convert to fraction form
    156,116,028,048/210,637,174,224 = 210,637,174,224/x
  3. Step 3: Cross multiply
    156,116,028,048x = 210,637,174,224 × 210,637,174,224
  4. Step 4: Simplify right side
    156,116,028,048x = 44,368,019,165,071,733,161,984
  5. Step 5: Solve for x
    x = 44,368,019,165,071,733,161,984/156,116,028,048
  6. Step 6: Final answer
    x = 284,199,000,703.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.