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Finding the Third Proportional to 156,116,028,057 and 210,637,174,236

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Solution

The third proportional to 156,116,028,057 and 210,637,174,236 is: 284,199,000,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,116,028,057 : 210,637,174,236 = 210,637,174,236 : x
  2. Step 2: Convert to fraction form
    156,116,028,057/210,637,174,236 = 210,637,174,236/x
  3. Step 3: Cross multiply
    156,116,028,057x = 210,637,174,236 × 210,637,174,236
  4. Step 4: Simplify right side
    156,116,028,057x = 44,368,019,170,127,018,721,280
  5. Step 5: Solve for x
    x = 44,368,019,170,127,018,721,280/156,116,028,057
  6. Step 6: Final answer
    x = 284,199,000,719.69

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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.