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Finding the Third Proportional to 95,781,159 and 210,103,702.50

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Solution

The third proportional to 95,781,159 and 210,103,702.50 is: 460,879,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,781,159 : 210,103,702.50 = 210,103,702.50 : x
  2. Step 2: Convert to fraction form
    95,781,159/210,103,702.50 = 210,103,702.50/x
  3. Step 3: Cross multiply
    95,781,159x = 210,103,702.50 × 210,103,702.50
  4. Step 4: Simplify right side
    95,781,159x = 44,143,565,804,208,504
  5. Step 5: Solve for x
    x = 44,143,565,804,208,504/95,781,159
  6. Step 6: Final answer
    x = 460,879,428.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.