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Finding the Third Proportional to 156,116,027,448 and 210,637,173,384

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Solution

The third proportional to 156,116,027,448 and 210,637,173,384 is: 284,198,999,529.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,116,027,448 : 210,637,173,384 = 210,637,173,384 : x
  2. Step 2: Convert to fraction form
    156,116,027,448/210,637,173,384 = 210,637,173,384/x
  3. Step 3: Cross multiply
    156,116,027,448x = 210,637,173,384 × 210,637,173,384
  4. Step 4: Simplify right side
    156,116,027,448x = 44,368,018,811,201,274,249,216
  5. Step 5: Solve for x
    x = 44,368,018,811,201,274,249,216/156,116,027,448
  6. Step 6: Final answer
    x = 284,198,999,529.24

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