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Finding the Third Proportional to 219,817,323 and 340,055,887.50

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Solution

The third proportional to 219,817,323 and 340,055,887.50 is: 526,064,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,817,323 : 340,055,887.50 = 340,055,887.50 : x
  2. Step 2: Convert to fraction form
    219,817,323/340,055,887.50 = 340,055,887.50/x
  3. Step 3: Cross multiply
    219,817,323x = 340,055,887.50 × 340,055,887.50
  4. Step 4: Simplify right side
    219,817,323x = 115,638,006,623,412,656
  5. Step 5: Solve for x
    x = 115,638,006,623,412,656/219,817,323
  6. Step 6: Final answer
    x = 526,064,120.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.