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Finding the Third Proportional to 105,150,753.70 and 230,090,303.53

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Solution

The third proportional to 105,150,753.70 and 230,090,303.53 is: 503,482,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,150,753.70 : 230,090,303.53 = 230,090,303.53 : x
  2. Step 2: Convert to fraction form
    105,150,753.70/230,090,303.53 = 230,090,303.53/x
  3. Step 3: Cross multiply
    105,150,753.70x = 230,090,303.53 × 230,090,303.53
  4. Step 4: Simplify right side
    105,150,753.70x = 52,941,547,779,102,760
  5. Step 5: Solve for x
    x = 52,941,547,779,102,760/105,150,753.70
  6. Step 6: Final answer
    x = 503,482,342.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.