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Finding the Third Proportional to 292,666,116.94 and 430,914,178.13

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Solution

The third proportional to 292,666,116.94 and 430,914,178.13 is: 634,467,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,666,116.94 : 430,914,178.13 = 430,914,178.13 : x
  2. Step 2: Convert to fraction form
    292,666,116.94/430,914,178.13 = 430,914,178.13/x
  3. Step 3: Cross multiply
    292,666,116.94x = 430,914,178.13 × 430,914,178.13
  4. Step 4: Simplify right side
    292,666,116.94x = 185,687,028,909,144,224
  5. Step 5: Solve for x
    x = 185,687,028,909,144,224/292,666,116.94
  6. Step 6: Final answer
    x = 634,467,121.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.