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Finding the Third Proportional to 46,547,360 and 97,918,432

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Solution

The third proportional to 46,547,360 and 97,918,432 is: 205,984,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,547,360 : 97,918,432 = 97,918,432 : x
  2. Step 2: Convert to fraction form
    46,547,360/97,918,432 = 97,918,432/x
  3. Step 3: Cross multiply
    46,547,360x = 97,918,432 × 97,918,432
  4. Step 4: Simplify right side
    46,547,360x = 9,588,019,325,338,624
  5. Step 5: Solve for x
    x = 9,588,019,325,338,624/46,547,360
  6. Step 6: Final answer
    x = 205,984,170.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.