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Finding the Third Proportional to 105,216,920 and 230,547,760

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Solution

The third proportional to 105,216,920 and 230,547,760 is: 505,168,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,216,920 : 230,547,760 = 230,547,760 : x
  2. Step 2: Convert to fraction form
    105,216,920/230,547,760 = 230,547,760/x
  3. Step 3: Cross multiply
    105,216,920x = 230,547,760 × 230,547,760
  4. Step 4: Simplify right side
    105,216,920x = 53,152,269,641,017,600
  5. Step 5: Solve for x
    x = 53,152,269,641,017,600/105,216,920
  6. Step 6: Final answer
    x = 505,168,461.89

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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.