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Finding the Third Proportional to 301,108,602.66 and 460,317,471.75

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Solution

The third proportional to 301,108,602.66 and 460,317,471.75 is: 703,706,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,108,602.66 : 460,317,471.75 = 460,317,471.75 : x
  2. Step 2: Convert to fraction form
    301,108,602.66/460,317,471.75 = 460,317,471.75/x
  3. Step 3: Cross multiply
    301,108,602.66x = 460,317,471.75 × 460,317,471.75
  4. Step 4: Simplify right side
    301,108,602.66x = 211,892,174,798,312,064
  5. Step 5: Solve for x
    x = 211,892,174,798,312,064/301,108,602.66
  6. Step 6: Final answer
    x = 703,706,811.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.