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Finding the Third Proportional to 156,116,028,059 and 210,637,174,239

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Solution

The third proportional to 156,116,028,059 and 210,637,174,239 is: 284,199,000,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,116,028,059 : 210,637,174,239 = 210,637,174,239 : x
  2. Step 2: Convert to fraction form
    156,116,028,059/210,637,174,239 = 210,637,174,239/x
  3. Step 3: Cross multiply
    156,116,028,059x = 210,637,174,239 × 210,637,174,239
  4. Step 4: Simplify right side
    156,116,028,059x = 44,368,019,171,390,846,402,560
  5. Step 5: Solve for x
    x = 44,368,019,171,390,846,402,560/156,116,028,059
  6. Step 6: Final answer
    x = 284,199,000,724.15

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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.