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Finding the Third Proportional to 336,292,869.38 and 473,368,102.31

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Solution

The third proportional to 336,292,869.38 and 473,368,102.31 is: 666,316,121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,292,869.38 : 473,368,102.31 = 473,368,102.31 : x
  2. Step 2: Convert to fraction form
    336,292,869.38/473,368,102.31 = 473,368,102.31/x
  3. Step 3: Cross multiply
    336,292,869.38x = 473,368,102.31 × 473,368,102.31
  4. Step 4: Simplify right side
    336,292,869.38x = 224,077,360,286,937,472
  5. Step 5: Solve for x
    x = 224,077,360,286,937,472/336,292,869.38
  6. Step 6: Final answer
    x = 666,316,121.13

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.