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Finding the Third Proportional to 145,547,840.04 and 315,653,298.05

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Solution

The third proportional to 145,547,840.04 and 315,653,298.05 is: 684,565,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,547,840.04 : 315,653,298.05 = 315,653,298.05 : x
  2. Step 2: Convert to fraction form
    145,547,840.04/315,653,298.05 = 315,653,298.05/x
  3. Step 3: Cross multiply
    145,547,840.04x = 315,653,298.05 × 315,653,298.05
  4. Step 4: Simplify right side
    145,547,840.04x = 99,637,004,567,872,464
  5. Step 5: Solve for x
    x = 99,637,004,567,872,464/145,547,840.04
  6. Step 6: Final answer
    x = 684,565,326.02

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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.