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Finding the Third Proportional to 136,290,038.25 and 297,557,804.25

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Solution

The third proportional to 136,290,038.25 and 297,557,804.25 is: 649,648,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,290,038.25 : 297,557,804.25 = 297,557,804.25 : x
  2. Step 2: Convert to fraction form
    136,290,038.25/297,557,804.25 = 297,557,804.25/x
  3. Step 3: Cross multiply
    136,290,038.25x = 297,557,804.25 × 297,557,804.25
  4. Step 4: Simplify right side
    136,290,038.25x = 88,540,646,870,081,312
  5. Step 5: Solve for x
    x = 88,540,646,870,081,312/136,290,038.25
  6. Step 6: Final answer
    x = 649,648,705.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.