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Finding the Third Proportional to 108,853,851,457 and 170,386,008,023

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Solution

The third proportional to 108,853,851,457 and 170,386,008,023 is: 266,700,638,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,853,851,457 : 170,386,008,023 = 170,386,008,023 : x
  2. Step 2: Convert to fraction form
    108,853,851,457/170,386,008,023 = 170,386,008,023/x
  3. Step 3: Cross multiply
    108,853,851,457x = 170,386,008,023 × 170,386,008,023
  4. Step 4: Simplify right side
    108,853,851,457x = 29,031,391,730,013,818,585,088
  5. Step 5: Solve for x
    x = 29,031,391,730,013,818,585,088/108,853,851,457
  6. Step 6: Final answer
    x = 266,700,638,897.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.