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Finding the Third Proportional to 76,464,838.69 and 165,113,641.69

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Solution

The third proportional to 76,464,838.69 and 165,113,641.69 is: 356,536,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464,838.69 : 165,113,641.69 = 165,113,641.69 : x
  2. Step 2: Convert to fraction form
    76,464,838.69/165,113,641.69 = 165,113,641.69/x
  3. Step 3: Cross multiply
    76,464,838.69x = 165,113,641.69 × 165,113,641.69
  4. Step 4: Simplify right side
    76,464,838.69x = 27,262,514,671,308,136
  5. Step 5: Solve for x
    x = 27,262,514,671,308,136/76,464,838.69
  6. Step 6: Final answer
    x = 356,536,613.94

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