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Finding the Third Proportional to 156,116,028,060 and 210,637,174,240.50

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Solution

The third proportional to 156,116,028,060 and 210,637,174,240.50 is: 284,199,000,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,116,028,060 : 210,637,174,240.50 = 210,637,174,240.50 : x
  2. Step 2: Convert to fraction form
    156,116,028,060/210,637,174,240.50 = 210,637,174,240.50/x
  3. Step 3: Cross multiply
    156,116,028,060x = 210,637,174,240.50 × 210,637,174,240.50
  4. Step 4: Simplify right side
    156,116,028,060x = 44,368,019,172,022,760,243,200
  5. Step 5: Solve for x
    x = 44,368,019,172,022,760,243,200/156,116,028,060
  6. Step 6: Final answer
    x = 284,199,000,726.38

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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.