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Finding the Third Proportional to 145,547,860.50 and 315,653,348.25

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Solution

The third proportional to 145,547,860.50 and 315,653,348.25 is: 684,565,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,547,860.50 : 315,653,348.25 = 315,653,348.25 : x
  2. Step 2: Convert to fraction form
    145,547,860.50/315,653,348.25 = 315,653,348.25/x
  3. Step 3: Cross multiply
    145,547,860.50x = 315,653,348.25 × 315,653,348.25
  4. Step 4: Simplify right side
    145,547,860.50x = 99,637,036,261,435,776
  5. Step 5: Solve for x
    x = 99,637,036,261,435,776/145,547,860.50
  6. Step 6: Final answer
    x = 684,565,447.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.