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Finding the Third Proportional to 172,895,014.69 and 265,587,890.77

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Solution

The third proportional to 172,895,014.69 and 265,587,890.77 is: 407,975,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,895,014.69 : 265,587,890.77 = 265,587,890.77 : x
  2. Step 2: Convert to fraction form
    172,895,014.69/265,587,890.77 = 265,587,890.77/x
  3. Step 3: Cross multiply
    172,895,014.69x = 265,587,890.77 × 265,587,890.77
  4. Step 4: Simplify right side
    172,895,014.69x = 70,536,927,721,330,896
  5. Step 5: Solve for x
    x = 70,536,927,721,330,896/172,895,014.69
  6. Step 6: Final answer
    x = 407,975,486.45

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.