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Finding the Third Proportional to 71,604,688.50 and 106,064,457.75

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Solution

The third proportional to 71,604,688.50 and 106,064,457.75 is: 157,107,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,604,688.50 : 106,064,457.75 = 106,064,457.75 : x
  2. Step 2: Convert to fraction form
    71,604,688.50/106,064,457.75 = 106,064,457.75/x
  3. Step 3: Cross multiply
    71,604,688.50x = 106,064,457.75 × 106,064,457.75
  4. Step 4: Simplify right side
    71,604,688.50x = 11,249,669,197,801,536
  5. Step 5: Solve for x
    x = 11,249,669,197,801,536/71,604,688.50
  6. Step 6: Final answer
    x = 157,107,997.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.