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Finding the Third Proportional to 132,810,166,543.50 and 286,783,019,964

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Solution

The third proportional to 132,810,166,543.50 and 286,783,019,964 is: 619,263,590,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,810,166,543.50 : 286,783,019,964 = 286,783,019,964 : x
  2. Step 2: Convert to fraction form
    132,810,166,543.50/286,783,019,964 = 286,783,019,964/x
  3. Step 3: Cross multiply
    132,810,166,543.50x = 286,783,019,964 × 286,783,019,964
  4. Step 4: Simplify right side
    132,810,166,543.50x = 82,244,500,539,672,014,880,768
  5. Step 5: Solve for x
    x = 82,244,500,539,672,014,880,768/132,810,166,543.50
  6. Step 6: Final answer
    x = 619,263,590,131.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.